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If n(X-Y)=30+a,n(Y-X)=20+2a,n(XcupY) =10...

If n(X-Y)=30+a,n(Y-X)=20+2a,n`(XcupY)` =100 and `n(X capY)=15+2a`, then find a.

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The correct Answer is:
a=7
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