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Question

The sum of two numbers is 9 and their product is 20. Find sum of their squares.

A
33
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B
41
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C
67
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D
11
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Solution

The correct option is B 41
Let two number be x and y
Given,
x+y=9 and
xy=20
Now,
x+y=9
Squaring both the sides,
(x+y)2=92
=>x2+y2+2xy=81
=>x2+y2+2(20)=81
=>x2+y2+40=81
=>x2+y2=8140
=>x2+y2=41

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