SOLUTION: The sum of the squares of two positive numbers is 106 106. The difference of their squares is 56 56. Find the two numbers.

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Question 1061195: The sum of the squares of two positive numbers is
106
106. The difference of their squares is
56
56. Find the two numbers.

Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.
The sum of the squares of two positive numbers is 106.
The difference of their squares is 56.
Find the two numbers.
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The numbers are 9 and 5.

This pair is unique. ( If not to count the other pair (5,9) ).

The info "The difference of their squares is 56." is excessive and is not required.