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Question

If (2xy,x+y)=(1,11), then the value of x and y respectively are

A
6,5
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B
7,4
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C
4,7
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D
7,3
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Solution

The correct option is A 4,7
If (2xy,x+y)=(1,11) then equate the corresponding sides as shown below:
2xy=1 ...........(1)
x+y=11 ...........(2)
Adding equations (1) and (2) we get,
2xy+x+y=1+11
3x=12
x=4
Substitute x=4 in equation (2) as follows:
4+y=11
y=114
y=7
Hence, x=4 and y=7

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