SOLUTION: Please, I need to solve this problem: the sum of the digits of a two digit number is 7. When you reverse the digits you decrease the number by 45. Find the number.

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Question 354343: Please, I need to solve this problem:
the sum of the digits of a two digit number is 7. When you reverse the digits you decrease the number by 45. Find the number.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
t=ten's digit , u=unit's digit

t + u = 7 ___ t = 7 - u

10t + u = 10u + t + 45

substituting ___ 10(7 - u) + u = 10u + (7 - u) + 45

solve for u , and then substitute to find t