Question

13. At present, Ajay's age is twice that of Rohan. 8 years ago, Ajay's age was 4 times
Rohan's age that time. What will be Rohan's age after 6 years? (in years)
1) 32
2) 30
3) 18
4) 20
​

Answer 1

32 is the correct answer of your question

Answer 2

After 6 years, Rohan's age will be 3) 18 years.

Given:

At present, Ajay's age is twice that of Rohan. 8 years ago, Ajay's age was 4 times Rohan's age that time.

To find:

The age of Rogan after 6 years.

Solution:

To answer this question, we will follow the following steps:

Let the present age of Rohan be x years.

Now,

According to the question, we have

The age of Ajay is twice of Rohan

This means

Ajay's age = 2x

Now,

8 years ago, the Rohan's age was = (x - 8) years

8 years ago, Ajay's age was = (2x - 8) years ...(i)

Also given,

8 years ago, Ajay's age was = 4(x - 8) years

= 4x - 32 years ...(ii)

As (i) and (ii) should be equal, so

$2x - 8 = 4x - 32$

$2x = 24$

$x = 12 \: years$

After 6 years, Rohan's age will be = 12 + 6 = 18 years.

Hence, Rohan's age after 6 years will be 3) 18 years.

#SPJ2