Mathematics
If the number x is 3 less than the number y and the sum of the squares of x and y is 29, find the product of x and y.
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Answer
Given,
x = y - 3 or x - y = -3 and
x2 + y2 = 29.
We know that,
(x - y)2 = x2 + y2 - 2xy
Putting values of x - y and x2 + y2 we get,
(-3)2 = 29 - 2xy
⇒ 2xy = 29 - 9
⇒ 2xy = 20
⇒ xy = 10
Hence, xy = 10.
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