document.write( "Question 1193692: find three-digit numbers such that its digits are reversed when 99 is added \n" ); document.write( "
Algebra.Com's Answer #825725 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! find three-digit numbers \n" ); document.write( "100a + 10b + c \n" ); document.write( " such that its digits are reversed when 99 is added \n" ); document.write( "100a + 10b + c + 99 = 100c + 10b + a \n" ); document.write( "combine like terms on the left \n" ); document.write( "100a - a + 10b - 10b + c - 100c + 99 = 0 \n" ); document.write( "99a + 0 - 99c + 99 = 0 \n" ); document.write( "simplify, divide by 99 \n" ); document.write( "a - c - 1 - 0 \n" ); document.write( "a = c + 1 \n" ); document.write( "obviously there are alot of numbers like this \n" ); document.write( "102/201, 203/302, 304/403, 435/534, 869/968 are just a few \n" ); document.write( " |