Question

Aman age is now thrice the age of Saurabh. Eight years ago Aman's age was 4 times the age of Saurabh. Find their present ages.​

Answer 1

Answer:

Their present ages are 24 and 72 years respectively

Explaination:

Given that:

Aman age is now thrice the age of Saurabh

Eight years ago Aman's age was 4 times the age of Saurabh

To Find:

The present ages of Saurabh and Aman

Assumptions made:

Let the present age of Aman be x

Let the present age of Saurabh be 3x

Their ages before eight years will be:

Aman's age before eight years = x - 8

Saurabh's age before eight years = 3x - 8

According to the question:

➼ 4 ( x - 8 ) = 3x - 8

➼ 4x - 32 = 3x - 8

➼ 4x - 3x = - 8 + 32

➼ \bf{ \purple{x = 24}}x=24

∴ The value of x is equal to 24

Henceforth,

The present age of Aman = 24 years

The present age of Saurabh = 72 years

Answer 2

✔Question :

• Aman's age is three times the age of Saurabh's age. Eight years ago Aman's age was four times the age of Saurabh. Find their present ages.

✔Answer :

• Present age of Aman : 72 years
• Present age of Saurabh : 24 years

✔Explanation :

◇ Given :

• Aman's age is now thrice the age of Saurabh.
• Eight years ago Aman's age was 4 times the age of Saurabh.

◇ To Find :

• Present ages of Aman and Saurabh?

◇ Solution :

• Let present age of Saurabh is 'x' years.

• And it is stated in the question that Aman's age is thrice the age of Saurabh. So, Aman's present age is '3x' years.

Eight years ago, Ages of Aman and Saurabh were :

• Aman's age = (3x - 8) years

• Saurabh's age = (x - 8) years

According to the question :

• Eight years ago Aman's age was 4 times the age of Saurabh.

Therefore :

We can say that,

Aman's age = 4 × Saurabh's age

$\implies \: 3x \: - 8 \: = 4(x \: - \: 8)$

$\implies \: 3x \: - \: 8 \: = \: 4x \: - \: 32$

$\implies \: - 8 \: = \: 4x - 3x - 32$

$\implies \: - 8 + 32 \: = \: 4x - 3x$

$\implies \: 24 \: = \: x$

$\red\implies \: \red{x \: = \: 24}$

Hence,

• Present age of Saurabh = 24 years.

Now,

• Aman's age = 3x = 3 × 24 = 72 years.