Question

The average of the ages of a group of 65 men is 32 years. If 5 men join the group, the average of the ages of 70 men is 34 years. Then the average of the ages of those 5 men joined later (in years) is:​

Answer 1

Let the number avg be x = 32

Let the number of persons be n = 65

(Avg Age = total age / total number of people )

Total AGE of 65 persons = Avg Age * total number of people = 32 * 65 = 2080

Now, 5 more persons are included, which means n=n+5 and the average increases by 2 implies, x = x +2

So, new avg a = 32 + 2 = 34

number of persons N = 65+5 = 70

Total AGE of 70 persons = New Avg age * total number of people = 34 * 70 = 2380

Age of the five new persons = Total age of 70 persons - Total age of 65 persons = 2380 - 2080 = 300.

Avg of 5 new persons = Total Age of 5 new persons / 5 = 300/5 = 60.

ANS: The average age of 5 new persons is 60.
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