Four years ago the average age of A and B was 18 years Now the average age of A B and C is 24 years ...........

Quantitative Aptitude (CDS) Average

Four years ago, the average age of A and B was 18 years. Now the average age of A, B and C is 24 years. After 8 years, the age of C will be

32 years

28 years

36 years

40 years

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Explanation:

Let the present ages of A, B and C be a, b and c years, respectively
∴a+b+c=24×3=72...(1)
Sum of ages of A and B four years ago=(a−4)+(b−4)
=18×2
=36
∴a+b=36+8=44....(2)
From (1) and (2), we have
c=72−44=28
Present age of C
= 28 years
Therefore, after 8 years, age of C=28+8
= 36 years