SOLUTION: Two numbers between 150 and 200 can each be expressed as the sum of two squares in two different ways. Find their difference.

Question 1189707: Two numbers between 150 and 200 can each be expressed as the sum of two squares in two different ways. Find their difference.
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.
Two numbers between 150 and 200 can each be expressed as the sum
of two squares in two different ways. Find their difference.
~~~~~~~~~~~~~~~

These two numbers are


    170 = 169 + 1 = 121 + 49

and

    185 = 169 + 16 = 121 + 64.


Their difference is  185 - 170 = 15.    ANSWERED

For more info, see these links

http://users.rowan.edu/~hassen/Papers/SUM%20OF%20TWO%20SQUARES%20IN%20MORE%20THAN%20ONE%20WAY.pdf

https://math.stackexchange.com/questions/2068122/natural-number-which-can-be-expressed-as-sum-of-two-perfect-squares-in-two-diffe

Happy learning (!)

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