Question

Rohan is 15 years older than sohan if 5years ago rohan was three times as older than sohan find Rohan's present age

Answer 1

$\huge\mathfrak\green{Answer:}$

Given:

• Rohan is 15 years older than Sohan.
• 5 years ago, Rohan was three times older than Sohan.

To Find:

• We need to find Rohan's present age.

Solution:

Let age of Sohan be x years.

Rohan's age = (x + 15) years.

5 years ago

Sohan's age = (x - 5) years

Rohan's age = (x + 15 - 5) years = (x + 10)years.

According to the question,

5 years ago, Rohan's age was thrice the age of Sohan.

=> (x + 10) = 3(x - 5)

=> x + 10 = 3x - 15

=> x -3x = -15-10

=> -2x = -25

=> 2x = 25

=> x = 25/2

Therefore, present age of Rohan:

= (x + 15)

= (25/2 + 15)

= 45/2 years.

Hence, age of Rohan is 45/2 years.