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Three years before, the average age of A, B and C is 36 years and the sum of ages of A and B after 2 years is 76 years. If C is 6 years younger than A
Question



Three years before, the average age of A, B and C is 36 years and the sum of ages of A and B after 2 years is 76 years. If C is 6 years younger than A, find the age of B.

A.

12 years

B.

15 years

C.

13 years

D.

21 years

E.

19 years

Correct option is D


Sum of the present ages of A, B and C =36×3+9=117 years …..(I)
Sum of the present ages of A and B = 76-4=72 years ……. (II)
From (I) & (II)
Present age of C = 117-72 = 45 years
Present age of A = 45+6=51 years
So, present age of B = 72-51=21 years

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