SOLUTION: two different numbers use the same two digits . the sum of the digits is 7, and the difference of the numbers is 27. find the numbers

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Question 361635: two different numbers use the same two digits . the sum of the digits is 7, and the difference of the numbers is 27. find the numbers
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
a + b = 7

(10a + b) - (10b + a) = 27 ___ 9a - 9b = 27 ___ a - b = 3

adding equations ___ 2a = 10 ___ a = 5

substituting ___ (5) + b = 7 ___ b = 2

the numbers are 25 and 52