Multiple choice

The ratio between the present ages of P and Q is 3 : 7. If after 5 years, the age of Q becomes twice the age of P, then find the present age of P.

  1. 15 years

  2. 12 years

  3. 21 years

  4. 18 years

  5. 24 years

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A Correct answer
Explanation

Let the present age of P be 3x years.

So the present age of Q be 7x years.

Now, after 5 years, P's age = 3x + 5 years and Q's age = 7x + 5 years

So, according to question,

2(3x + 5) = 7x + 5

On solving this equation, we get

x = 5

So, the present age of P is 3x = 3 * 5 = 15 years.