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?

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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) About Me  (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