Question 52

The average age of fifteen persons is 32 years. If two more persons are added then the average is increased by 3 years. The new persons have an age difference of 7 years between them. The age (in years) of the elder among the new persons is:

Solution

given that the average age of 15 people is 32

so,sum is 15*32=480

given that two more persons are added so that the avg is increased by 3

and also given that the age difference of 2 members is 7

so we can consider the ages as x and x+7

$$\frac{\left(480+x+x+7\right)}{17}=35$$

487+2x=595

x=54

The age of elder is x + 7

i.e; 54 + 7 = 61.

hence option C is correct.

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