Question

If a 32 year old man is replaced by a new man,then the average age of 42 men increases by 1 year. What is the age of the new man?

• A. 72 years
• B. 73 years
• C. 74 years
• D. 75 years

Answer 1

Answer:

C. 74 years

Solution:

Given:

 A 32 year old man is replaced by a new man, then the average age of 42 men increases by 1 year

Concept:

Average age $\times$ Number of Men = Total age

Calculation:

Let initially the average age of 42 men be x

⇒ Total age of 42 men = 42x

Now,  a 32 year old man is replaced by a new man

⇒ New Total age $= 42\times{(x + 1)}$

∴ $42\times{(x + 1)}-42x$ = Age of the New man - 32

⇒ 42x + 42 - 42x = Age of the New man - 32

⇒ Age of the New man - 32 = 42

∴  Age of the New man = 42 + 32 = 74 years