the average ages of sachine and ganguli is 35years.if kaif replaces sachine , the average bicomes 32years and if kaif replaces ganguli,the average age becmes 38years.if the average of dhoni and irfan is half of the average year of sachine , gaguli and kaif , then the average age of all the five people is?
Answers
Step-by-step explanation:
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.