A and B are joined sets.If n(A−B)=25+x, n(B−A)=2x, n(A∩B)=2x and n(A) = 2[n(B)], then x = ____.
7
4
6
5
n(A−B)=25+x, n(B−A)=2x
n(A∩B)=2x
n(A)=n(A−B)+n(A∩B)
=25+x+2x=25+3x
n(B)=n(B−A)+n(A∩B)
=2x+2x=4x
n(A)=2n(B)⇒25+3x=2(4x)
⇒5x=25⇒x=5
Let n(A−B)=25+x, n(B−A)=2x and n(A∩B)=2x. If n(A)=2(n(B)), then x = ___.