# The sum of the squares of two positive numbers is 109. The difference of their squares is 91. Find the two numbers.

1 answer

###### Question:

The sum of the squares of two positive numbers is 109. The difference of their squares is 91. Find the two

numbers.

numbers.

## Answers

Answer:3 and 10Step-by-step explanation:x² + y² = 109x² - y² = 91Add the equations 2x² = 200x² = 100x = 10Substitute x² = 100 into either equation100 - y² = 91y² = 9y = 3

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