Question 1186991
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The sum of the digits of a two-digit number is 13. The tens digit is seventeen
less than the square of the units digit. Find the number.
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<pre>
Let x be the units digot.

Then the tens digit is 13-x, according to the condition.


Write an equation as you read the problem

    13-x = x^2 - 17.


Simplify and solve

    x^2 + x - 30 = 0

    (x-5)*(x+6) = 0


The only root, which fits as a solution to the problem is  x = 5.


The number is  85.     <U>ANSWER</U>
</pre>

Solved.


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Check it on your own that all requirements of the problem are satisfied.