24. The sum of the ages ofA, B and C is 96 years. To find out B’s age, which of the following information given in the statements P and Q is/are sufficient
P : A is 6 years older than C
Q : The total of B and C’s ages is 56 years
A.P B.both P and Q
C.Q D.None of these
Answer: both P and Q
Explanation: A + B + C = 96. Let C = x. Then, A = x + 6.
x + 6 + B + X = 96 so B + 2x = 90
NOw B + C = 56 so B+ X = 56
x=(90 - 56) = 34.
B+2x = 90 => B = (90 - 68) = 22.
Thus both P and Q are needed.
