SOLUTION: Twice the ones digit of a positive 2 digit integer is 17 greater than the difference. Reversing increases the number by 9.

Question 1024204: Twice the ones digit of a positive 2 digit integer is 17 greater than the difference. Reversing increases the number by 9.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Initial number, .

This is the description translated into a system of equations.

The difference equation becomes

.

Handling the absolute value equation gives these two possible equations:

-
.

Either or both of the results of the absolute value equation may work. Start with the "non-negative" form to remake the system.
.
-
Add corresponding members...

----------which indicates .

Original or initial number should be 89.

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