Question

33. The average of the father and his son is 30 years and their ages are now in the ratio 5:1.
Find the present age of the son. how to solve​

Answer 1

Step-by-step explanation:

Given:-

• The average of the father and his son is 30 years.
• Their ages are now in the ratio 5:1.

To find:-

Age of son

solution:-

Let

son 's age be x

father's age=5x

According to Question

$\\\qquad\quad\displaystyle\sf\longrightarrow \dfrac {5x+x}{2}=30$

$\\\qquad\quad\displaystyle\sf\longrightarrow \dfrac {6x}{2}=30$

$\\\qquad\quad\displaystyle\sf\longrightarrow 3x=30$

$\\\qquad\quad\displaystyle\sf\longrightarrow x=\dfrac {30}{3}$

$\\\qquad\quad\displaystyle\sf\longrightarrow x=10$

$\\\\\therefore\sf The\:age\:of\:son\:is\:10\:years.$

Answer 2

Answer:

Explanation:

Given :

• The average of the father and his son is 30 years.
• Their ages are now in the ratio 5:1.

To Find :

• The present age of the son.

Solution :

Let, Son's age be "P" and Father's age be "5P".

★According to the question,

⇒ 30 = 5P + P/2

⇒ 30 = 6P/2

⇒ 30 × 2 = 6P

⇒ 60 = 6P

⇒ P = 60/6

⇒ P = 10

★ Son's present age = P = 10 year

★ Father's present age = 5P = 50 year

Hence, Present age of son is 10 years.