SOLUTION: If n(A∪B)=52,n(A∩B)=10, and n(A)=n(B), find n(A). A. 31 B. 21 C. 5 D. 26

Algebra ->  Equations -> SOLUTION: If n(A∪B)=52,n(A∩B)=10, and n(A)=n(B), find n(A). A. 31 B. 21 C. 5 D. 26      Log On


   

Question 1060729: If n(A∪B)=52,n(A∩B)=10, and n(A)=n(B), find n(A).
A. 31
B. 21
C. 5
D. 26
Answer by ikleyn(52794) About Me  (Show Source):
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It is clear and widely well known that n(A U B) = n(A) + n(B) - n(A n B).

For the given case, it implies that 52 = 2*n(A) - 10, or

n(A) = 31.

Solved.