Multiple choice

The present age of the father is equal to the age of his three children taken together. After 9 year the age of the father will be equal to the sum of the age of the first two children. Three years after that, it would be equal to the sum of the age of the eldest and the youngest children. Again after three years it would be equal to the sum of the two youngest children. What is the present age of the youngest child?

  1. 9 year

  2. 8 years

  3. 3 years

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let F be father, C1, C2, C3 be children. F = C1+C2+C3. After 9 years: F+9 = (C1+9) + (C2+9) = C1+C2+18. Substituting F: C1+C2+C3+9 = C1+C2+18 => C3 = 9.

AI explanation

Let the present ages of the three children be E, M, and Y, making the father's present age E + M + Y. After 9 years, the father will be E + M + Y + 9 and the sum of the first two children's ages will be E + 9 + M + 9 = E + M + 18. Setting these equal gives E + M + Y + 9 = E + M + 18, which simplifies to Y = 9. Therefore, the present age of the youngest child is 9 years.

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