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Question

A and B are joined sets.If n(AB)=25+x, n(BA)=2x, n(AB)=2x and n(A) = 2[n(B)], then x = ____.


A

7

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B

4

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C

6

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D

5

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Solution

The correct option is D

5



n(AB)=25+x, n(BA)=2x

n(AB)=2x

n(A)=n(AB)+n(AB)

=25+x+2x=25+3x

n(B)=n(BA)+n(AB)

=2x+2x=4x

n(A)=2n(B)25+3x=2(4x)

5x=25x=5


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