Five years ago, the average age of A, B and C was 20 years. Six years ago, the average age of B and C was 9 years. What will be the age (in years) of A after 3 years from now?

Options
a) 41
b) 48
c) 45
d) 47

Solution

As per question
5 years ago ,
Average age of A , B and C = 20 years
6 years ago ,
Average age of B and C = 9 years
5 years ago ,
Total age of A , B and C = 20 x 3 = 60 years
Present age of A , B and C = 60 + 5 x 3= 60 + 15 = 75 years

6 years ago ,
Total age of B and C = 9 x 2 = 18 years
Present age of B and C = 18 + 6 x 2 = 18 + 12 = 30 years
Present age of A = 75 – 30 = 45 years
A’s age after 3 year = 45 + 3 = 48 years

Ans: 48 years