SOLUTION: Please help me to solve this problem,,, In an integer between 10 and 100, the unit's digit is 5 smaller than the tens digit. find the integer if it is eight times as large as th

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Question 1145966: Please help me to solve this problem,,,
In an integer between 10 and 100, the unit's digit is 5 smaller than the tens digit. find the integer if it is eight times as large as the sum of its digits.
Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x be the unit's digit.


Then the ten's digit is (x+5), according to the condition.


The equation is


    8*(x + (x+5)) = 10*(x+5) + x


Solve it


    16x + 40 = 10x + 50 + x

    16x - 10x - x = 50 - 40

    5x             = 10

     x             = 10/5 = 2.


ANSWER.  The numbers is 72.