A man is 30 years older than his son. In four years, his age will be twice the…

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A man is 30 years older than his son. In four years, his age will be twice the age of his son. The present age of his son is :

  1. A.

    26 years

  2. B.

    30 years

  3. C.

    24 years

  4. D.

    28 years

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Show answer & explanation

Correct answer: A

Answer: 26 years

  1. Let the son's present age be x years.

  2. Then the man's present age is x + 30 years.

  3. After 4 years the son's age will be x + 4 and the man's age will be x + 34.

  4. Given the man's age will be twice the son's age: x + 34 = 2(x + 4).

  5. Solve: x + 34 = 2x + 8 => 34 - 8 = 2x - x => x = 26.

  6. Therefore the present age of the son is 26 years.

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