SOLUTION: 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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Question 1186991: 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.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
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.
~~~~~~~~~~~~~ 

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.     ANSWER

Solved.

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



Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
u and t
ONES digit and tens digit



Looking at the formula for t, the second equation and taking only from the digits,
, so very few choices can be examined to see how they fit.

Try 5 for u ?


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The two digit number: 85
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