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Question

If the difference of two numbers is 3 and the difference of their squares is 39 then the larger number is :

A
8
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B
9
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C
12
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D
13
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Solution

The correct option is A 8
The two numbers be a,b respectively.
According to equation,
ab=3(1)
a2b2=39
(a+b)(ab)=39
(a+b)×3=39
(a+b)=13(2)
ab=3a+b=13
On adding: 2a=16a=8
putting a in equation (1)
ab=38b=3b=5

Large number is 8.

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