# The age of the mother (in yrs) is:

The average age of mother and her six children is 12 years, which is reduced by 5 years if the age of the mother is excluded. The age of the mother (in yrs) is:

- 48
- 40
- 42
- 50

**Answer: (3) 42**

**Explanation:-**

The average age of mother and fer six children = 12 years

Then, total age of mother and her children = 12 x 7

= 84 years

If the age of the mother is excluded then, average of age reduced by 5 years.

Then, total age of children = (12 – 5) x 6

= 7 x 6

= 42 years

So, the age of the mother = 84 – 42

= 42 years

Hence, the correct answer is option (3) 42 years.