document.write( "Question 37396: Is there a formula that could be used to explain how you add consecutive numbers to make multiples of 100.eg.18+19=19=20=21=22=100 38+39+40+41+42=200 that would be suitable for a twelve year old to be able to solve such problems? \n" ); document.write( "
Algebra.Com's Answer #23072 by checkley71(8403) ![]() You can put this solution on YOUR website! IF YOU DIVIDE 100 BY ANY ODD NUMBER (3,5,7,9,11,13,15,ETC) THAT GIVES YOU A WHOLE NUMBER (IE 100/5=20) THIS TELLS YOU THAT 5 SEQUENTIAL NUMBERS WITH 20 BEING THE MIDDLE NUMBER IS A SOLUTION: THUS 18+19+20+21+22=100\r \n" ); document.write( "\n" ); document.write( "OR IF YOU DIVIDE 2600 BY 900/15=60 THUS 15 CONSECUTIVE NUMBERS WITH 60 AS THE \r \n" ); document.write( "\n" ); document.write( "MIDDLE NUMBER WILL ADD UP TO 900 THUS \r \n" ); document.write( "\n" ); document.write( "53+54+55+56+57+58+59+60+61+62+63+64+65+66+67=900 \r \n" ); document.write( "\n" ); document.write( "HOPE THIS HELPS. IT'S NOT VERY SIMPLE BUT IT DOES WORK.\r \n" ); document.write( "\n" ); document.write( "TRY IT WITH 400/25=16 OR 25 NUMBERS WITH 16 AS THE MIDDLE NUMBER\r \n" ); document.write( "\n" ); document.write( "TRY IT WITH 2200/11=200 OR 11 NUMBERS WIT 200 AS THE MIDDLE NUMBER \n" ); document.write( " |