SOLUTION: The sum of the digits of a certain two-digits number is 7. When you reverse its digits you increase the number by 27. What is the number.

Question 1064162: The sum of the digits of a certain two-digits number is 7. When you reverse its digits you increase the number by 27. What is the number.
Found 2 solutions by ikleyn, KMST:
Answer by ikleyn(52777) (Show Source): You can put this solution on YOUR website!

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= the number
= the result of reversing the digits
The clues in the problem translate into two equations:
= the sum of the digits
= the reversed number minus the original number
Solving the system:
Simplifying the second equation we get :

Substituting for in
we get

Substituting for in we get

So, the number is
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