Multiple choice

The product of the present ages of Sakshi and Nidhi is 320. Eight years from now, Sakshi's age will be three times the age of Nidhi. What was the age of Sakshi when Nidhi was born?

  1. a)40 years

  2. b)32 years

  3. c)48 years

  4. d)36 years

  5. e)26 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Nidhi's present age be n. The condition eight years from now gives Sakshi's age as 3n + 16, and n(3n + 16) = 320. The positive solution is n = 8 and Sakshi is 40 now, so her age when Nidhi was born was 40 - 8 = 32 years.

AI explanation

Let the present ages of Sakshi and Nidhi be S and N, giving S * N = 320. In eight years, Sakshi will be three times Nidhi's age, so S + 8 = 3 * (N + 8), which simplifies to S = 3N + 16. Substituting into the product equation gives (3N + 16) * N = 320, leading to 3N^2 + 16N - 320 = 0. Factoring the quadratic equation gives (3N + 40)(N - 8) = 0, so Nidhi's present age is 8 and Sakshi's is 3(8) + 16 = 40. Therefore, Sakshi was 32 years old when Nidhi was born.

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