The average weight of 6 men is increased by 2 kg when one of them whose weight is 48 kg is replaced by a new man. Whatis the weight of the new man?

Correct option is C

Given:

The average weight of 6 men is increased by 2 kg.

The weight of the man replaced is 48 kg.

The number of men = 6.

Formula Used:

Change in Total Weight = Change in average weight × Number of men

Weight of the New Man = Weight of the replaced man + Change in total weight

Solution:
Let the initial average weight of the 6 men be x. The total weight of the 6 men would then be:

Total Weight = 6x
After replacing the man, the new average weight increases by 2 kg:

New Average Weight = x + 2

So, the new total weight of the 6 men becomes:

New Total Weight = 6(x + 2) = 6x + 12

The change in total weight is:

Change in Total Weight = (6x + 12) − 6x = 12

Weight of New Man = 48 + 12 = 60 kg

Alternate Solution: 

if 2 kg is increased in every man after replacing 48kg man, then

total increase = $$6\times 2 = 12 \ kg$$​  

New man weight = 48 + 12 = 60 kg