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The average age of Sachin and Ganguli is 35 yrs. If Kaif replaces Sachin, the average age is 32 yrs, if Kaif replaces Ganguly average age is 38 yr. If the average age of Dhoni and Irfan is half of average age of Sachin, Ganguli and Kaif. then average age of all the five people is

A: 28 yrs

B: 32 yrs

C: 25 yrs

D:none of these

1 Answer

Best answer
3 votes
3 votes
Option A must be correct.
S : Sachin’s age
G : Ganguly’s age
K : Kaif’s age
D : Dhoni’s age
I : Irfan’s age
Given
(S + G) / 2 = 35
=> ( S + G ) = 70.    Eq 1
(K + G) / = 32
=> (K + G) = 64.    Eq 2
(S + K)/2 = 38
=> (S + K) = 76.    Eq 3
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Eq 1 + Eq 2 + Eq 3 will give:
2(S + G + K) = 210
=> (S + G + K) = 105.        Eq 4
That is the sum ages of S, G & K is 105.
So the average age of S, G & K will be (S + G + K) / 3 = 105 / 3 = 35.
The average age of Irfan & Dhoni = half the average ages of S, G & K.
that is (I + D) / 2 = 35 / 2
=> sum of ages of Irfan & Dhoni i.e. (I + D) = 35    Eq 5
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From Eq 4 & 5, the sum of ages of all the 5 players can be described as follow:
(S + G + K) + (I + D) = 105 + 35 = 140
Hence the average age of all the 5 players = 140 / 5 = 28.

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