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4.Average
medium
The average age of Sachin and Ganguli is $35 \,years.$ If Kaif replaces Sachin, the average age becomes $32 \,years$ and if Kaif replaces Ganguli, then the average age becomes $38 \,years.$ If the average age of Dhoni and Irfan be half of the average age of Sachin, Ganguli and Kaif, then the average age of all the five people is:
A
$28$
B
$32$
C
$25$
D
$26$
Solution
Total age of $S + G =35 \times 2=70$ years
$K + G =32 \times 2=64$ years $\quad S + K =38 \times 2=76$ years
$S+G+K=\frac{70+64+76}{2}=\frac{210}{2}=105$ years
Average of $S + G + K =\frac{105}{3}=35$ years
$D+1=\frac{35}{2} \Rightarrow$ Sum of age of $D+1=35$
Average of $S , G , K , D , I =\frac{105+35}{5}=28$ years
Std 13
Quantitative Aptitude
