At the time of his marriage Arunachalam was 29 years old. During marriage, his…

2023

At the time of his marriage Arunachalam was 29 years old. During marriage, his wife was younger by 3 1/2 years. 20 years afterwards the total ages of Arunachalam, his wife and their only son Kamalraj is 110 years. What will be the age of Kamalraj forty years from now ?

  1. A.

    35 1/2 years

  2. B.

    45 1/2 years

  3. C.

    25 years

  4. D.

    30 years

Attempted by 7 students.

Show answer & explanation

Correct answer: A

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Solution:

  1. At the time of marriage: Arunachalam = 29 years; wife = 29 - 3.5 = 25.5 years.

  2. Twenty years later: Arunachalam = 29 + 20 = 49 years; wife = 25.5 + 20 = 45.5 years.

  3. Let the son's age at that 20-year point be x. Given 49 + 45.5 + x = 110, so x = 110 - 94.5 = 15.5 years.

  4. Interpretation note: The standard reading used here takes 'forty years from now' to mean forty years from the time of marriage (i.e., 20 years after the 20-year point). That adds 20 more years to the son's age at the 20-year point.

  5. So the son's age forty years from marriage = 15.5 + 20 = 35.5 years.

Answer: 35 1/2 years

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