SOLUTION: The sum of two-digit number is 13. When 9 is subtracted from the original number, the resulting number is the reverse of the original number. What is the new number?

Algebra ->  Expressions-with-variables -> SOLUTION: The sum of two-digit number is 13. When 9 is subtracted from the original number, the resulting number is the reverse of the original number. What is the new number?      Log On


   



Question 253035: The sum of two-digit number is 13. When 9 is subtracted from the original number, the resulting number is the reverse of the original number. What is the new number?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=13
10a+b-9=10b+a
Find the new number 10b+a
a=7
b=6
original number 76
new number 67
check
76-9=67
6+7=13
ok