Question 70
The average age of two friends, A and B, is 24 years. The average age of A, B and C is 22 years. What is the age of C?
Solution
The average age of two friends, A and B, is 24 years.
$$\frac{A+B}{2}\ =\ 24$$
A+B = 48 Eq.(i)
The average age of A, B and C is 22 years.
$$\frac{A+B+C}{3}\ =\ 22$$
A+B+C = 66 Eq.(ii)
Age of C = Eq.(ii)-Eq.(i)
= 66-48
= 18 years
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