-
The average age of four brothers is 12 years. If the age of their mother is also included, the average is increased by 5 years. The age of the mother (in years) is :
-
- 37 years
- 43 years
- 48 years
- 53 years
- 37 years
Correct Option: A
Average age of 4 brothers = 12 yrs.
Total age of 4 brothers = 4 × 12 = 48 yrs.
Average age of 4 brothers + mother ( = 5 persons)
= 12 + 5 = 17 yrs.
∴ Total age of 4 brothers + mother = 5 × 17 = 85 yrs.
∴ The age of the mother = 85 – 48 = 37 yrs.
Second method to solve this question with the help of given formula :
Here, y = 5, n = 4
Age of mother = Average + y (n+1)
Age of mother = 12 + 5 (4 + 1)
Age of mother= 12 + 25 = 37 years
