SSC CHSL 2020 PYQ — Question 82

SSC CHSL - 17th October 2020 - Shift 2 • Reasoning • Q82

Aarav’s mother was 3 times as old as Aarav 5 years ago. After 5 years, she will be twice as old as Aarav. How old is Aarav today?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e 15 years.

 Understanding 

Let the present age of Aarav = x years

Age of Aarav 5 years ago = (x - 5) years

Age of Aarav after 5 years = (x + 5) years

Aarav's mothers age 5 years ago = 3(x -5) years

Aarav's mothers present age = 3(x -5) + 5 = (3x - 10)years

Aarav's mothers age after 5 years = 3x - 10 + 5 = (3x - 5)years

According to the question;

3x - 5 = 2 (x + 5)

⇒x = 15 years

Hence, option 2 is the correct answer.