Question
Wed August 17, 2011 By:

A is elder to B by 2 yrs.A's father F is twice as old as A nd B istwice as old as his sister S.if the ages of da father nd sister differ by 40 yrs,find da age of A.

Expert Reply
Wed August 17, 2011
Let age of A be A years,
      age of B be B years
      age of F be F years
        age of S be S years
ATQ,   A = B + 2      ........(1)
            F = 2A          ......(2)
            B = 2S          ........(3)
            F - S = 40    ........(4)
Substituting equations (2) & (3) in (4),
2A - B/2 = 40
=>  4A - B = 80      .........(5)
Solving eqn (1) & (5), we get
        3A = 78
=>   A = 26
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