How old is C now?

I. Three years ago, the average of A and B was 18 years.

II. With C joining them now the average becomes 22 years.

(a) If the data in statement I alone are sufficient (b) If the data in statement II alone are sufficient (c) If the data either in statement I and statement II alone are sufficient (d) If the data even in both statement I and II together are not sufficient (e) if the data in both statement I and II are necessary.

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Answer : I.3 years ago, ½(A +B) = 18 => 3 years ago, (A +B) = 36 . Now, (A +B) = (36 + 3 +3) =42 =>A+B=36 ………………………………………………………………………………………………………………..(i)

II. Now, 1/3(A +B +C) = 22 => A +B +C => 66 ……………………………………………….(ii)

From I and II, we get C = (66 - 42)= 24.

Thus, I and II both together give the answer. Hence the answer is (e)

2 Years Ago

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