Multiple choice

The ratio of Nutan's age to Vidya's age at present is $5:4$. If the sum of their ages at present is $36$, what is Vidya's age at present?

  1. Present ages of Nutan and Vidya are $30$ and $20$ years respectively.
  2. Present ages of Nutan and Vidya are $20$ and $16$ years respectively.
  3. Present ages of Nutan and Vidya are $25$ and $20$ years respectively.
  4. Data insufficient

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Ratio 5:4. Sum = 36. 5x + 4x = 36. 9x = 36. x = 4. Nutan = 5 * 4 = 20. Vidya = 4 * 4 = 16.

AI explanation

Let Nutan's and Vidya's present ages be 5x and 4x. Their combined age is 36, giving the equation 5x + 4x = 36. This simplifies to 9x = 36, meaning x = 4. Therefore, Nutan's present age is 20 and Vidya's present age is 16.