SOLUTION: If a two – digit number is divided by the sum of its digits, the quotient is 7. If the number expressed by the same digits in reverse order is divided by the sum of its digits, the

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Question 580434: If a two – digit number is divided by the sum of its digits, the quotient is 7. If the number expressed by the same digits in reverse order is divided by the sum of its digits, the quotient is 4. Find the number.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Ia is the tens digit and b is the ones digit:
The number is
10a%2Bb=7%28a%2Bb%29
The number with the digits in reverse order is
10b%2B4=4%28a%2Bb%29
Unfortunately, both equations simplify to a=2b, and there would be infinite solutions for that equation. However, a and b are digits, so the solutions are limited to (a,b) being (2,1), (4,2), (6,3), and (8,4).
@!,42,63, and 84 are all solutions