SOLUTION: the sum of the digits in a certain two-digit number is 12. when you reverse its digits you increase the number by 18. what is the number?

Algebra.Com
Question 414662: the sum of the digits in a certain two-digit number is 12. when you reverse its digits you increase the number by 18. what is the number?
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
sum of the digits in a certain two-digit number is 12
Let x and (12-x)represent the unit and ten's digit respectively
Question states*** Note: [10(12-x)+ x] is the original number
10x + (12-x) = [10(12-x)+ x] + 18
18x = 126
x = 7, the unit's digit, the ten's digit is 5, the number 57.
CHECKING our Answer***
75 = 57 + 18
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