Question

average age of ravi & his son is 16 years. The ratio of their ages is 15:1 respectively. What's is the son's age?

Answer 1

The son's age = 2 years

Step-by-step explanation:

Given:

• Average age of Ravi & his Son is 16 years

• The ratio of their ages is 15:1

Find :

• The son's age

Solution:

Let,

The ratio of Ravi's age = 15y

The ratio of his Son's age = y

Average age of both = 16

So,

⇒ $\frac{15y \: + \: y}{2} \: = 16$

⇒ $16y \: = \: 32$

⇒ $y = \: \frac{32}{16}$

⇒ $y \: = \: 2$

⇒ y = 2

Therefore,

The son's age = 2 years

★ Verification :

Ravi's age = 15y

⇒ 15(2)

⇒ 15 × 2

⇒ 30

Ravi's age = 30 years

Average :

$average \: age \: = \frac{sum \: of \: observation}{number \: of \: observation}$

⇒ $\frac{30 \: + \: 2}{2}$

⇒ $\frac{32}{2}$

⇒ 16

Therefore,

Average of both ages is 16