SOLUTION: How many whole numbers between 1 and 100000 have addition of the digits equal the 6? Thanks!

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Question 102452: How many whole numbers between 1 and 100000 have addition of the digits equal the 6?
Thanks!

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
 
How many whole numbers between 1 and 100000 have addition of
the digits equal the 6?

Thanks!

I used a computer program to find them all and count them.
There are 210 whole numbers between 1 and 100000 the sum of
whose digits is 6.  That is IF we can say that the "sum" of the
one and only digit of 6 is 6.  If not there are only 209.  

1. The "sum" of the one and only digit of 6 is 6.  
2. The sum of the digits of 15 is 6.
3. The sum of the digits of 24 is 6.
4. The sum of the digits of 33 is 6.
5. The sum of the digits of 42 is 6.
6. The sum of the digits of 51 is 6.
7. The sum of the digits of 60 is 6.
8. The sum of the digits of 105 is 6.
9. The sum of the digits of 114 is 6.
10. The sum of the digits of 123 is 6.
11. The sum of the digits of 132 is 6.
12. The sum of the digits of 141 is 6.
13. The sum of the digits of 150 is 6.
14. The sum of the digits of 204 is 6.
15. The sum of the digits of 213 is 6.
16. The sum of the digits of 222 is 6.
17. The sum of the digits of 231 is 6.
18. The sum of the digits of 240 is 6.
19. The sum of the digits of 303 is 6.
20. The sum of the digits of 312 is 6.
21. The sum of the digits of 321 is 6.
22. The sum of the digits of 330 is 6.
23. The sum of the digits of 402 is 6.
24. The sum of the digits of 411 is 6.
25. The sum of the digits of 420 is 6.
26. The sum of the digits of 501 is 6.
27. The sum of the digits of 510 is 6.
28. The sum of the digits of 600 is 6.
29. The sum of the digits of 1005 is 6.
30. The sum of the digits of 1014 is 6.
31. The sum of the digits of 1023 is 6.
32. The sum of the digits of 1032 is 6.
33. The sum of the digits of 1041 is 6.
34. The sum of the digits of 1050 is 6.
35. The sum of the digits of 1104 is 6.
36. The sum of the digits of 1113 is 6.
37. The sum of the digits of 1122 is 6.
38. The sum of the digits of 1131 is 6.
39. The sum of the digits of 1140 is 6.
40. The sum of the digits of 1203 is 6.
41. The sum of the digits of 1212 is 6.
42. The sum of the digits of 1221 is 6.
43. The sum of the digits of 1230 is 6.
44. The sum of the digits of 1302 is 6.
45. The sum of the digits of 1311 is 6.
46. The sum of the digits of 1320 is 6.
47. The sum of the digits of 1401 is 6.
48. The sum of the digits of 1410 is 6.
49. The sum of the digits of 1500 is 6.
50. The sum of the digits of 2004 is 6.
51. The sum of the digits of 2013 is 6.
52. The sum of the digits of 2022 is 6.
53. The sum of the digits of 2031 is 6.
54. The sum of the digits of 2040 is 6.
55. The sum of the digits of 2103 is 6.
56. The sum of the digits of 2112 is 6.
57. The sum of the digits of 2121 is 6.
58. The sum of the digits of 2130 is 6.
59. The sum of the digits of 2202 is 6.
60. The sum of the digits of 2211 is 6.
61. The sum of the digits of 2220 is 6.
62. The sum of the digits of 2301 is 6.
63. The sum of the digits of 2310 is 6.
64. The sum of the digits of 2400 is 6.
65. The sum of the digits of 3003 is 6.
66. The sum of the digits of 3012 is 6.
67. The sum of the digits of 3021 is 6.
68. The sum of the digits of 3030 is 6.
69. The sum of the digits of 3102 is 6.
70. The sum of the digits of 3111 is 6.
71. The sum of the digits of 3120 is 6.
72. The sum of the digits of 3201 is 6.
73. The sum of the digits of 3210 is 6.
74. The sum of the digits of 3300 is 6.
75. The sum of the digits of 4002 is 6.
76. The sum of the digits of 4011 is 6.
77. The sum of the digits of 4020 is 6.
78. The sum of the digits of 4101 is 6.
79. The sum of the digits of 4110 is 6.
80. The sum of the digits of 4200 is 6.
81. The sum of the digits of 5001 is 6.
82. The sum of the digits of 5010 is 6.
83. The sum of the digits of 5100 is 6.
84. The sum of the digits of 6000 is 6.
85. The sum of the digits of 10005 is 6.
86. The sum of the digits of 10014 is 6.
87. The sum of the digits of 10023 is 6.
88. The sum of the digits of 10032 is 6.
89. The sum of the digits of 10041 is 6.
90. The sum of the digits of 10050 is 6.
91. The sum of the digits of 10104 is 6.
92. The sum of the digits of 10113 is 6.
93. The sum of the digits of 10122 is 6.
94. The sum of the digits of 10131 is 6.
95. The sum of the digits of 10140 is 6.
96. The sum of the digits of 10203 is 6.
97. The sum of the digits of 10212 is 6.
98. The sum of the digits of 10221 is 6.
99. The sum of the digits of 10230 is 6.
100. The sum of the digits of 10302 is 6.
101. The sum of the digits of 10311 is 6.
102. The sum of the digits of 10320 is 6.
103. The sum of the digits of 10401 is 6.
104. The sum of the digits of 10410 is 6.
105. The sum of the digits of 10500 is 6.
106. The sum of the digits of 11004 is 6.
107. The sum of the digits of 11013 is 6.
108. The sum of the digits of 11022 is 6.
109. The sum of the digits of 11031 is 6.
110. The sum of the digits of 11040 is 6.
111. The sum of the digits of 11103 is 6.
112. The sum of the digits of 11112 is 6.
113. The sum of the digits of 11121 is 6.
114. The sum of the digits of 11130 is 6.
115. The sum of the digits of 11202 is 6.
116. The sum of the digits of 11211 is 6.
117. The sum of the digits of 11220 is 6.
118. The sum of the digits of 11301 is 6.
119. The sum of the digits of 11310 is 6.
120. The sum of the digits of 11400 is 6.
121. The sum of the digits of 12003 is 6.
122. The sum of the digits of 12012 is 6.
123. The sum of the digits of 12021 is 6.
124. The sum of the digits of 12030 is 6.
125. The sum of the digits of 12102 is 6.
126. The sum of the digits of 12111 is 6.
127. The sum of the digits of 12120 is 6.
128. The sum of the digits of 12201 is 6.
129. The sum of the digits of 12210 is 6.
130. The sum of the digits of 12300 is 6.
131. The sum of the digits of 13002 is 6.
132. The sum of the digits of 13011 is 6.
133. The sum of the digits of 13020 is 6.
134. The sum of the digits of 13101 is 6.
135. The sum of the digits of 13110 is 6.
136. The sum of the digits of 13200 is 6.
137. The sum of the digits of 14001 is 6.
138. The sum of the digits of 14010 is 6.
139. The sum of the digits of 14100 is 6.
140. The sum of the digits of 15000 is 6.
141. The sum of the digits of 20004 is 6.
142. The sum of the digits of 20013 is 6.
143. The sum of the digits of 20022 is 6.
144. The sum of the digits of 20031 is 6.
145. The sum of the digits of 20040 is 6.
146. The sum of the digits of 20103 is 6.
147. The sum of the digits of 20112 is 6.
148. The sum of the digits of 20121 is 6.
149. The sum of the digits of 20130 is 6.
150. The sum of the digits of 20202 is 6.
151. The sum of the digits of 20211 is 6.
152. The sum of the digits of 20220 is 6.
153. The sum of the digits of 20301 is 6.
154. The sum of the digits of 20310 is 6.
155. The sum of the digits of 20400 is 6.
156. The sum of the digits of 21003 is 6.
157. The sum of the digits of 21012 is 6.
158. The sum of the digits of 21021 is 6.
159. The sum of the digits of 21030 is 6.
160. The sum of the digits of 21102 is 6.
161. The sum of the digits of 21111 is 6.
162. The sum of the digits of 21120 is 6.
163. The sum of the digits of 21201 is 6.
164. The sum of the digits of 21210 is 6.
165. The sum of the digits of 21300 is 6.
166. The sum of the digits of 22002 is 6.
167. The sum of the digits of 22011 is 6.
168. The sum of the digits of 22020 is 6.
169. The sum of the digits of 22101 is 6.
170. The sum of the digits of 22110 is 6.
171. The sum of the digits of 22200 is 6.
172. The sum of the digits of 23001 is 6.
173. The sum of the digits of 23010 is 6.
174. The sum of the digits of 23100 is 6.
175. The sum of the digits of 24000 is 6.
176. The sum of the digits of 30003 is 6.
177. The sum of the digits of 30012 is 6.
178. The sum of the digits of 30021 is 6.
179. The sum of the digits of 30030 is 6.
180. The sum of the digits of 30102 is 6.
181. The sum of the digits of 30111 is 6.
182. The sum of the digits of 30120 is 6.
183. The sum of the digits of 30201 is 6.
184. The sum of the digits of 30210 is 6.
185. The sum of the digits of 30300 is 6.
186. The sum of the digits of 31002 is 6.
187. The sum of the digits of 31011 is 6.
188. The sum of the digits of 31020 is 6.
189. The sum of the digits of 31101 is 6.
190. The sum of the digits of 31110 is 6.
191. The sum of the digits of 31200 is 6.
192. The sum of the digits of 32001 is 6.
193. The sum of the digits of 32010 is 6.
194. The sum of the digits of 32100 is 6.
195. The sum of the digits of 33000 is 6.
196. The sum of the digits of 40002 is 6.
197. The sum of the digits of 40011 is 6.
198. The sum of the digits of 40020 is 6.
199. The sum of the digits of 40101 is 6.
200. The sum of the digits of 40110 is 6.
201. The sum of the digits of 40200 is 6.
202. The sum of the digits of 41001 is 6.
203. The sum of the digits of 41010 is 6.
204. The sum of the digits of 41100 is 6.
205. The sum of the digits of 42000 is 6.
206. The sum of the digits of 50001 is 6.
207. The sum of the digits of 50010 is 6.
208. The sum of the digits of 50100 is 6.
209. The sum of the digits of 51000 is 6.
210. The sum of the digits of 60000 is 6.

Edwin