document.write( "Question 102452: How many whole numbers between 1 and 100000 have addition of the digits equal the 6?\r
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Algebra.Com's Answer #74462 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "How many whole numbers between 1 and 100000 have addition of\r\n" ); document.write( "the digits equal the 6?\r\n" ); document.write( "\r\n" ); document.write( "Thanks!\r\n" ); document.write( "\r\n" ); document.write( "I used a computer program to find them all and count them.\r\n" ); document.write( "There are 210 whole numbers between 1 and 100000 the sum of\r\n" ); document.write( "whose digits is 6. That is IF we can say that the \"sum\" of the\r\n" ); document.write( "one and only digit of 6 is 6. If not there are only 209. \r\n" ); document.write( "\r\n" ); document.write( "1. The \"sum\" of the one and only digit of 6 is 6. \r\n" ); document.write( "2. The sum of the digits of 15 is 6.\r\n" ); document.write( "3. The sum of the digits of 24 is 6.\r\n" ); document.write( "4. The sum of the digits of 33 is 6.\r\n" ); document.write( "5. The sum of the digits of 42 is 6.\r\n" ); document.write( "6. The sum of the digits of 51 is 6.\r\n" ); document.write( "7. The sum of the digits of 60 is 6.\r\n" ); document.write( "8. The sum of the digits of 105 is 6.\r\n" ); document.write( "9. The sum of the digits of 114 is 6.\r\n" ); document.write( "10. The sum of the digits of 123 is 6.\r\n" ); document.write( "11. The sum of the digits of 132 is 6.\r\n" ); document.write( "12. The sum of the digits of 141 is 6.\r\n" ); document.write( "13. The sum of the digits of 150 is 6.\r\n" ); document.write( "14. The sum of the digits of 204 is 6.\r\n" ); document.write( "15. The sum of the digits of 213 is 6.\r\n" ); document.write( "16. The sum of the digits of 222 is 6.\r\n" ); document.write( "17. The sum of the digits of 231 is 6.\r\n" ); document.write( "18. The sum of the digits of 240 is 6.\r\n" ); document.write( "19. The sum of the digits of 303 is 6.\r\n" ); document.write( "20. The sum of the digits of 312 is 6.\r\n" ); document.write( "21. The sum of the digits of 321 is 6.\r\n" ); document.write( "22. The sum of the digits of 330 is 6.\r\n" ); document.write( "23. The sum of the digits of 402 is 6.\r\n" ); document.write( "24. The sum of the digits of 411 is 6.\r\n" ); document.write( "25. The sum of the digits of 420 is 6.\r\n" ); document.write( "26. The sum of the digits of 501 is 6.\r\n" ); document.write( "27. The sum of the digits of 510 is 6.\r\n" ); document.write( "28. The sum of the digits of 600 is 6.\r\n" ); document.write( "29. The sum of the digits of 1005 is 6.\r\n" ); document.write( "30. The sum of the digits of 1014 is 6.\r\n" ); document.write( "31. The sum of the digits of 1023 is 6.\r\n" ); document.write( "32. The sum of the digits of 1032 is 6.\r\n" ); document.write( "33. The sum of the digits of 1041 is 6.\r\n" ); document.write( "34. The sum of the digits of 1050 is 6.\r\n" ); document.write( "35. The sum of the digits of 1104 is 6.\r\n" ); document.write( "36. The sum of the digits of 1113 is 6.\r\n" ); document.write( "37. The sum of the digits of 1122 is 6.\r\n" ); document.write( "38. The sum of the digits of 1131 is 6.\r\n" ); document.write( "39. The sum of the digits of 1140 is 6.\r\n" ); document.write( "40. The sum of the digits of 1203 is 6.\r\n" ); document.write( "41. The sum of the digits of 1212 is 6.\r\n" ); document.write( "42. The sum of the digits of 1221 is 6.\r\n" ); document.write( "43. The sum of the digits of 1230 is 6.\r\n" ); document.write( "44. The sum of the digits of 1302 is 6.\r\n" ); document.write( "45. The sum of the digits of 1311 is 6.\r\n" ); document.write( "46. The sum of the digits of 1320 is 6.\r\n" ); document.write( "47. The sum of the digits of 1401 is 6.\r\n" ); document.write( "48. The sum of the digits of 1410 is 6.\r\n" ); document.write( "49. The sum of the digits of 1500 is 6.\r\n" ); document.write( "50. The sum of the digits of 2004 is 6.\r\n" ); document.write( "51. The sum of the digits of 2013 is 6.\r\n" ); document.write( "52. The sum of the digits of 2022 is 6.\r\n" ); document.write( "53. The sum of the digits of 2031 is 6.\r\n" ); document.write( "54. The sum of the digits of 2040 is 6.\r\n" ); document.write( "55. The sum of the digits of 2103 is 6.\r\n" ); document.write( "56. The sum of the digits of 2112 is 6.\r\n" ); document.write( "57. The sum of the digits of 2121 is 6.\r\n" ); document.write( "58. The sum of the digits of 2130 is 6.\r\n" ); document.write( "59. The sum of the digits of 2202 is 6.\r\n" ); document.write( "60. The sum of the digits of 2211 is 6.\r\n" ); document.write( "61. The sum of the digits of 2220 is 6.\r\n" ); document.write( "62. The sum of the digits of 2301 is 6.\r\n" ); document.write( "63. The sum of the digits of 2310 is 6.\r\n" ); document.write( "64. The sum of the digits of 2400 is 6.\r\n" ); document.write( "65. The sum of the digits of 3003 is 6.\r\n" ); document.write( "66. The sum of the digits of 3012 is 6.\r\n" ); document.write( "67. The sum of the digits of 3021 is 6.\r\n" ); document.write( "68. The sum of the digits of 3030 is 6.\r\n" ); document.write( "69. The sum of the digits of 3102 is 6.\r\n" ); document.write( "70. The sum of the digits of 3111 is 6.\r\n" ); document.write( "71. The sum of the digits of 3120 is 6.\r\n" ); document.write( "72. The sum of the digits of 3201 is 6.\r\n" ); document.write( "73. The sum of the digits of 3210 is 6.\r\n" ); document.write( "74. The sum of the digits of 3300 is 6.\r\n" ); document.write( "75. The sum of the digits of 4002 is 6.\r\n" ); document.write( "76. The sum of the digits of 4011 is 6.\r\n" ); document.write( "77. The sum of the digits of 4020 is 6.\r\n" ); document.write( "78. The sum of the digits of 4101 is 6.\r\n" ); document.write( "79. The sum of the digits of 4110 is 6.\r\n" ); document.write( "80. The sum of the digits of 4200 is 6.\r\n" ); document.write( "81. The sum of the digits of 5001 is 6.\r\n" ); document.write( "82. The sum of the digits of 5010 is 6.\r\n" ); document.write( "83. The sum of the digits of 5100 is 6.\r\n" ); document.write( "84. The sum of the digits of 6000 is 6.\r\n" ); document.write( "85. The sum of the digits of 10005 is 6.\r\n" ); document.write( "86. The sum of the digits of 10014 is 6.\r\n" ); document.write( "87. The sum of the digits of 10023 is 6.\r\n" ); document.write( "88. The sum of the digits of 10032 is 6.\r\n" ); document.write( "89. The sum of the digits of 10041 is 6.\r\n" ); document.write( "90. The sum of the digits of 10050 is 6.\r\n" ); document.write( "91. The sum of the digits of 10104 is 6.\r\n" ); document.write( "92. The sum of the digits of 10113 is 6.\r\n" ); document.write( "93. The sum of the digits of 10122 is 6.\r\n" ); document.write( "94. The sum of the digits of 10131 is 6.\r\n" ); document.write( "95. The sum of the digits of 10140 is 6.\r\n" ); document.write( "96. The sum of the digits of 10203 is 6.\r\n" ); document.write( "97. The sum of the digits of 10212 is 6.\r\n" ); document.write( "98. The sum of the digits of 10221 is 6.\r\n" ); document.write( "99. The sum of the digits of 10230 is 6.\r\n" ); document.write( "100. The sum of the digits of 10302 is 6.\r\n" ); document.write( "101. The sum of the digits of 10311 is 6.\r\n" ); document.write( "102. The sum of the digits of 10320 is 6.\r\n" ); document.write( "103. The sum of the digits of 10401 is 6.\r\n" ); document.write( "104. The sum of the digits of 10410 is 6.\r\n" ); document.write( "105. The sum of the digits of 10500 is 6.\r\n" ); document.write( "106. The sum of the digits of 11004 is 6.\r\n" ); document.write( "107. The sum of the digits of 11013 is 6.\r\n" ); document.write( "108. The sum of the digits of 11022 is 6.\r\n" ); document.write( "109. The sum of the digits of 11031 is 6.\r\n" ); document.write( "110. The sum of the digits of 11040 is 6.\r\n" ); document.write( "111. The sum of the digits of 11103 is 6.\r\n" ); document.write( "112. The sum of the digits of 11112 is 6.\r\n" ); document.write( "113. The sum of the digits of 11121 is 6.\r\n" ); document.write( "114. The sum of the digits of 11130 is 6.\r\n" ); document.write( "115. The sum of the digits of 11202 is 6.\r\n" ); document.write( "116. The sum of the digits of 11211 is 6.\r\n" ); document.write( "117. The sum of the digits of 11220 is 6.\r\n" ); document.write( "118. The sum of the digits of 11301 is 6.\r\n" ); document.write( "119. The sum of the digits of 11310 is 6.\r\n" ); document.write( "120. The sum of the digits of 11400 is 6.\r\n" ); document.write( "121. The sum of the digits of 12003 is 6.\r\n" ); document.write( "122. The sum of the digits of 12012 is 6.\r\n" ); document.write( "123. The sum of the digits of 12021 is 6.\r\n" ); document.write( "124. The sum of the digits of 12030 is 6.\r\n" ); document.write( "125. The sum of the digits of 12102 is 6.\r\n" ); document.write( "126. The sum of the digits of 12111 is 6.\r\n" ); document.write( "127. The sum of the digits of 12120 is 6.\r\n" ); document.write( "128. The sum of the digits of 12201 is 6.\r\n" ); document.write( "129. The sum of the digits of 12210 is 6.\r\n" ); document.write( "130. The sum of the digits of 12300 is 6.\r\n" ); document.write( "131. The sum of the digits of 13002 is 6.\r\n" ); document.write( "132. The sum of the digits of 13011 is 6.\r\n" ); document.write( "133. The sum of the digits of 13020 is 6.\r\n" ); document.write( "134. The sum of the digits of 13101 is 6.\r\n" ); document.write( "135. The sum of the digits of 13110 is 6.\r\n" ); document.write( "136. The sum of the digits of 13200 is 6.\r\n" ); document.write( "137. The sum of the digits of 14001 is 6.\r\n" ); document.write( "138. The sum of the digits of 14010 is 6.\r\n" ); document.write( "139. The sum of the digits of 14100 is 6.\r\n" ); document.write( "140. The sum of the digits of 15000 is 6.\r\n" ); document.write( "141. The sum of the digits of 20004 is 6.\r\n" ); document.write( "142. The sum of the digits of 20013 is 6.\r\n" ); document.write( "143. The sum of the digits of 20022 is 6.\r\n" ); document.write( "144. The sum of the digits of 20031 is 6.\r\n" ); document.write( "145. The sum of the digits of 20040 is 6.\r\n" ); document.write( "146. The sum of the digits of 20103 is 6.\r\n" ); document.write( "147. The sum of the digits of 20112 is 6.\r\n" ); document.write( "148. The sum of the digits of 20121 is 6.\r\n" ); document.write( "149. The sum of the digits of 20130 is 6.\r\n" ); document.write( "150. The sum of the digits of 20202 is 6.\r\n" ); document.write( "151. The sum of the digits of 20211 is 6.\r\n" ); document.write( "152. The sum of the digits of 20220 is 6.\r\n" ); document.write( "153. The sum of the digits of 20301 is 6.\r\n" ); document.write( "154. The sum of the digits of 20310 is 6.\r\n" ); document.write( "155. The sum of the digits of 20400 is 6.\r\n" ); document.write( "156. The sum of the digits of 21003 is 6.\r\n" ); document.write( "157. The sum of the digits of 21012 is 6.\r\n" ); document.write( "158. The sum of the digits of 21021 is 6.\r\n" ); document.write( "159. The sum of the digits of 21030 is 6.\r\n" ); document.write( "160. The sum of the digits of 21102 is 6.\r\n" ); document.write( "161. The sum of the digits of 21111 is 6.\r\n" ); document.write( "162. The sum of the digits of 21120 is 6.\r\n" ); document.write( "163. The sum of the digits of 21201 is 6.\r\n" ); document.write( "164. The sum of the digits of 21210 is 6.\r\n" ); document.write( "165. The sum of the digits of 21300 is 6.\r\n" ); document.write( "166. The sum of the digits of 22002 is 6.\r\n" ); document.write( "167. The sum of the digits of 22011 is 6.\r\n" ); document.write( "168. The sum of the digits of 22020 is 6.\r\n" ); document.write( "169. The sum of the digits of 22101 is 6.\r\n" ); document.write( "170. The sum of the digits of 22110 is 6.\r\n" ); document.write( "171. The sum of the digits of 22200 is 6.\r\n" ); document.write( "172. The sum of the digits of 23001 is 6.\r\n" ); document.write( "173. The sum of the digits of 23010 is 6.\r\n" ); document.write( "174. The sum of the digits of 23100 is 6.\r\n" ); document.write( "175. The sum of the digits of 24000 is 6.\r\n" ); document.write( "176. The sum of the digits of 30003 is 6.\r\n" ); document.write( "177. The sum of the digits of 30012 is 6.\r\n" ); document.write( "178. The sum of the digits of 30021 is 6.\r\n" ); document.write( "179. The sum of the digits of 30030 is 6.\r\n" ); document.write( "180. The sum of the digits of 30102 is 6.\r\n" ); document.write( "181. The sum of the digits of 30111 is 6.\r\n" ); document.write( "182. The sum of the digits of 30120 is 6.\r\n" ); document.write( "183. The sum of the digits of 30201 is 6.\r\n" ); document.write( "184. The sum of the digits of 30210 is 6.\r\n" ); document.write( "185. The sum of the digits of 30300 is 6.\r\n" ); document.write( "186. The sum of the digits of 31002 is 6.\r\n" ); document.write( "187. The sum of the digits of 31011 is 6.\r\n" ); document.write( "188. The sum of the digits of 31020 is 6.\r\n" ); document.write( "189. The sum of the digits of 31101 is 6.\r\n" ); document.write( "190. The sum of the digits of 31110 is 6.\r\n" ); document.write( "191. The sum of the digits of 31200 is 6.\r\n" ); document.write( "192. The sum of the digits of 32001 is 6.\r\n" ); document.write( "193. The sum of the digits of 32010 is 6.\r\n" ); document.write( "194. The sum of the digits of 32100 is 6.\r\n" ); document.write( "195. The sum of the digits of 33000 is 6.\r\n" ); document.write( "196. The sum of the digits of 40002 is 6.\r\n" ); document.write( "197. The sum of the digits of 40011 is 6.\r\n" ); document.write( "198. The sum of the digits of 40020 is 6.\r\n" ); document.write( "199. The sum of the digits of 40101 is 6.\r\n" ); document.write( "200. The sum of the digits of 40110 is 6.\r\n" ); document.write( "201. The sum of the digits of 40200 is 6.\r\n" ); document.write( "202. The sum of the digits of 41001 is 6.\r\n" ); document.write( "203. The sum of the digits of 41010 is 6.\r\n" ); document.write( "204. The sum of the digits of 41100 is 6.\r\n" ); document.write( "205. The sum of the digits of 42000 is 6.\r\n" ); document.write( "206. The sum of the digits of 50001 is 6.\r\n" ); document.write( "207. The sum of the digits of 50010 is 6.\r\n" ); document.write( "208. The sum of the digits of 50100 is 6.\r\n" ); document.write( "209. The sum of the digits of 51000 is 6.\r\n" ); document.write( "210. The sum of the digits of 60000 is 6.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |