Question

The average age of a group of workers changes from 32 to 35 years if an old worker is replaced by a new worker. How many workers are there in the group if the new worker is 12 years younger than the older one?
(1) 5 (2) 4
(3) 6 (4) 7

Answer 1

4 younger

I hope it is correct

let the answer is correct

Answer 2

Answer:

(2) 4

Step-by-step explanation:

Let x be the total number of workers,

$\because Average =\frac{Sum}{Number}$

$\implies Sum= average\times number$

If the average age is 32,

So, total sum = 32x,

If the average age is 35,

Total sum = 35x

Difference = 35x - 32x = 3x

According to the question,

3x = 12

⇒ x = 4

Hence, there are 4 workers.

Option '(2)' is correct.