Multiple choice

Sonam's age after eight years will be half of her father's age. Eight years ago, the ratio of their ages was 1 : 3. Find the present age of Sonam's father.

  1. 48 years

  2. 56 years

  3. 36 years

  4. 65 years

  5. N/A
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let S be Sonam's age, F be father's age. (S + 8) = 0.5(F + 8) => 2S + 16 = F + 8 => F = 2S + 8. Eight years ago: (S - 8) / (F - 8) = 1 / 3 => 3S - 24 = F - 8 => F = 3S - 16. Equating: 2S + 8 = 3S - 16 => S = 24. Father's age F = 2(24) + 8 = 56.

AI explanation

Let Sonam's present age be x and her father's be y; the first condition gives x + 8 = (y + 8) / 2, which simplifies to y = 2x + 8. The second condition states that (x - 8) / (y - 8) = 1 / 3, leading to 3x - 24 = y - 8. Substituting the first equation into the second gives 3x - 24 = 2x, resulting in x = 24. Therefore, her father's present age is 2(24) + 8 = 56 years.

Keep practicing — related questions