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Raja is three times as old as Arun. Three years ago, he was four times as old as Arun. How old is Raja now?
Question

Raja is three times as old as Arun. Three years ago, he was four times as old as Arun. How old is Raja now?

A.

15

B.

6

C.

12

D.

27

Correct option is D

Let the present age of Arun be x years.

Since Raja is three times as old as Arun, Raja's present age will be 3x years.

Three years ago:

Arun's age was (x - 3) years.

Raja's age was (3x - 3) years.

According to the problem:

Three years ago, Raja was four times as old as Arun.

So, 3x - 3 = 4(x - 3)

Let's solve this equation:

3x - 3 = 4x - 12

Subtracting 3x from both sides:

-3 = x - 12

Adding 12 to both sides:

x = 9

So, Arun is 9 years old.

Raja's present age = 3x = 3 × 9 = 27 years

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