document.write( "Question 1187151: The tens digit of a three-digit number is 0. The sum of the other digits is 6. Interchanged the units and hundreds digits decreases the number by 396. Find the original number \n" ); document.write( "
Algebra.Com's Answer #818114 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Given the two 3-digit numbers ABC and CBA, and assuming A is greater than C, then the difference ABC-CBA is equal to 99 times (A-C). \n" ); document.write( "Since that difference is 396, we know A-C is 396/99 = 4. \n" ); document.write( "So the hundreds digit is 4 more than the units digit; and the problem says the tens digit is 0 and the sum of the other two digits is 6. Then we have \n" ); document.write( "A-C = 4 \n" ); document.write( "A+C = 6 \n" ); document.write( "which gives us A=5 and C=1. \n" ); document.write( "ANSWER: The original number is 501 \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |