SOLUTION: The sum of the squares of two numbers is 74 and the difference of their squares is 24. Find the two numbers.

Question 426580: The sum of the squares of two numbers is 74 and the difference of their squares is 24. Find the two numbers.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Since the sum is even but not divisible by 4, the numbers are odd.
The sum is 74, so they're single digit numbers.
The difference is small, so they're consecutive odd numbers.
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24/4 = 6, the middle
--> 5 & 7
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The hard way:

--------------------- Add

x = 7
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y = 5
Or -5 & -7
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