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Two years ago from now, Hitesh was 6 times as old as Jitesh. After 2 years from now, he will be 2 times as old as Jitesh will then be. The present age of Hitesh (in years) is:

The correct answer is

8

Let the present ages of Hitesh and Jitesh be H and J years.

Two years ago: \( H-2=6(J-2)\Rightarrow H=6J-10 \).

After two years: \( H+2=2(J+2)\Rightarrow H=2J+2 \).

Equating: \( 6J-10=2J+2\Rightarrow 4J=12\Rightarrow J=3 \).

So \( H=2(3)+2=8 \). Check: 2 years ago ages were 6 and 1 (6 times); after 2 years they will be 10 and 5 (2 times).

Hence, the present age of Hitesh is 8 years.

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