SOLUTION: the difference of the square of 2 numbers is 580 and their sum is 58 . what is the difference between the two numbers.

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Question 808221: the difference of the square of 2 numbers is 580 and their sum is 58 . what is the difference between the two numbers.
Answer by mananth(16946) About Me  (Show Source):
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the difference of the square of 2 numbers is 580 and their sum is 58 . what is the difference between the two numbers.
let the numbers be x & y
x%5E2-y%5E2=580
x+y=58
x%5E2-y%5E2=580
(x+y)(x-y)=580
58*(x-y)=580
x-y=580/58
x-y = 10