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Question

The number x is 2 more than the number y. If the sum of the squares of x and y is 34, find the product of x and y.

A
22
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B
11
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C
15
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D
20
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Solution

The correct option is C 15
Given,
x2+y2=34 ...(1)
xy=2 ...(2)
Squaring on both sides, we get
(xy)2=22
x2+y22xy=4
From equation (1), we have
342xy=4
2xy=30
xy=15

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