Question

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Rahul is 4 times as old as his son. After 5 years, the sum of their ages will be 60 years.
Find the age of his son.

Answer 1

QuesTion

• Rahul is 4 times as old as his son . After 5 years , the sum of their ages will be 60 years. Find the present age of his son .

AnsweR

• Present age of son = 10 years

Step By Step Explanation

Given

• Rahul's age = 4 times his son's age.
• Sum of ages of Rahul and his son after 5 years = 60 years.

To Find

• Present age of Rahul's son.

Assumptions

• Let present age of Rahul's son = x years . Therefore, present age of Rahul = 4x years.

Solution

Age of Rahul's son after 5 years = ( x + 5 ) years

& Age of Rahul after 5 years = ( 4x + 5 ) years

Sum of their ages after 5 years = 60 years.

According to Question :

$(x + 5) \: + \: (4x + 5) \: = \: 60$

$\implies \: 5x \: + \: 10 \: = \: 60$

$\implies \: 5x \: = \: 60 \: - \: 10$

$\implies \: 5x \: = \: 50$

$\implies \: x \: = \: \frac{50}{5}$

$\implies \: x \: = \: 10$

Therefore,

Present age of Rahul's son = 10 years

Present age of Rahul = 4x = 4 x 10 = 40 years.

Verification

Age of Rahul's son after 5 years = 10+5 = 15years.

& Age of Rahul after 5 years = 40+5 = 45 years.

Sum of their ages after 5 years = 15+45 = 60years

( which is given )

Hence Verified .