Question 572052
two different numbers use the same two digits.  The sume of the digits is 7, and the difference of the numbers is 27.  find the numbers
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Let t = the tens digit of the 1st number
Let u = the units digit of the 1st number
Then the two numbers can be represented as 10t + u and 10u + t
The difference of the two numbers is 27: 10t + u - (10u + t) = 27
9t + 9u = 27
t - u = 3 [1]
And the sum of the digits = 7: t + u = 7 [2]
Add [1] and [2]:
2t = 10 -> t = 5
So the one's digit = 2
The two numbers are 52 and 25