SOLUTION: The sum of squares of two positive integers is 106. Out of that the sum of the greatest number and triple of the smallest number is 24, find the numbers

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Question 1017038: The sum of squares of two positive integers is 106. Out of that the sum of the greatest number and triple of the smallest number is 24, find the numbers
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52932)   (Show Source): You can put this solution on YOUR website!
.
The sum of squares of two positive integers is 106. Out of that the sum of the greatest number and triple of the smallest number is 24, find the numbers
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5 and 9.

By the way, the first condition just defines the two numbers by an unique way,
so that the second condition is excessive.


Answer by MathTherapy(10559)   (Show Source): You can put this solution on YOUR website!

The sum of squares of two positive integers is 106. Out of that the sum of the greatest number and triple of the smallest number is 24, find the numbers
Let larger number be L, and smaller, S

Then: 

Equation (ii) can be solved for L, the larger number, and then substituted into eq (i)

Solve for the 2 variables from there 

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