Question 63

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?

Solution

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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

= $$2\times3$$

= 6 years

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