4 years ago, the age of Garvit was three times that of Yuvansh, but one year ago the age of Garvit was two times that of Yuvansh. What is the difference between the ages of Garvit and Yuvansh?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e 6 years.
4 years ago, the age of Garvit was three times that of Yuvansh
Let's assume the age of Yuvansh 4 years ago, is 'y' years
4 years ago, the age of Garvit = 3y
One year ago the age of Garvit was two times that of Yuvansh
⇒ (3y + 3) = 2(y + 3)
⇒ 3y + 3 = 2y + 6
⇒ 3y - 2y = 6 - 3
⇒ y = 3
Difference between the ages of Garvit and Yuvansh = (3y - y) = 2y
⇒ 2 × 3 = 6 years