## Arun’s father is three times as old as Arun. If the sum of their ages are 56 years. What are their ages. (let the value of their ages be x).

Question

Arun’s father is three times as old as Arun. If the sum of their ages are 56 years. What are their ages. (let the value of their ages be x). SOLVE.

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3 weeks 2021-09-06T04:16:12+00:00 2 Answers 0 views 0

Present age of Arun is 14 years and the present age of Arun’s father is 42 years.

Step-by-step explanation:

Given :

• Arun’s father is three times as old as Arun.
• The sum of their ages is 56 years.

To find :

• Their ages.

Solution :

Let the present age of Arun be x years.

Arun’s father is three times as old as Arun.

Then,

• Age of Arun’s father = 3x years

The sum of their ages is 56 years.

According to the question,

3x + x = 56

→ 4x = 56

→ x = 56/4

→ x = 14

• Present age of Arun = 14 years
• Present age of Arun’s father= 3×14 = 42 years.

## _________________

Verification :

• Arun’s present age = 14 years
• Arun’s father’s present age = 42 years

The sum of their ages = 56

→ (42+14) = 56

→ 56 = 56

Hence Verified !

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