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19-05-2021
Mathematics

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

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20-05-2021

Answer:

3 and 10

Step-by-step explanation:

x² + y² = 109

x² - y² = 91

Add the equations

2x² = 200

x² = 100

x = 10

Substitute x² = 100 into either equation

100 - y² = 91

y² = 9

y = 3

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