SOLUTION: What is the sum of x+y, where x and y are positive integers and (x^2)(x-y) = 3703?

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Question 1173197: What is the sum of x+y, where x and y are positive integers and (x^2)(x-y) = 3703?
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

The prime decomposition of the number 3703 is   3703 = 7*23^2.


Comparing it with the formula  3703 = (x^2)*(x-y), you conclude that


    x = 23,  x - y = 7,


which implies  x = 23,  y = x + 7 = 23+7 = 30.    ANSWER



Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

What is the sum of x+y, where x and y are positive integers and (x^2)(x-y) = 3703?
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