Question

the average age of a man and his son is 40 years the ratio of their ages is 11:5 respectively what is the age of son's age​

Answer 1

Answer:

Mark me as a brainliest please........

Answer 2

Answer:

The present age of son is 25 years.

Step-by-step explanation:

Given :

Ratio of their ages = 11 : 5

Age average = 40 years

To find :

The present age of the son

Solution :

✯ $\textsf{\underline{\underline{Let the ages be -}}}$

• Man's age as 11y
• Son's age as 5y

$\boxed{\sf{Average = \frac{Sum \: of \: Observations}{No. \: of \: Observations}}}$

$\sf{\longrightarrow} \: 40 = \dfrac{11y + 5y}{2} \\ \\ \sf{\longrightarrow} \:40 = \dfrac{16y}{2} \\ \\ \sf{\longrightarrow} \:40 = 8y \\ \\ \sf{\longrightarrow} \:y = \dfrac{40}{8} \\ \\ \sf{\longrightarrow} \:y = 5$

$\rule{300}{1.5}$

✯ $\textsf{\underline{\underline{Son's age -}}}$

$\sf{\longrightarrow} \:5(5) \\ \\ \sf{\longrightarrow} \:25$

Son's age = 25 years

$\therefore$ The present age of son is 25 years.