Multiple choice

Sonia is the mother of Riya and was 26 years old when Riya was born. What is the age of Riya, if the ratio of the ages of Riya and Sonia is 1 : 3?

  1. 9 years

  2. 12 years

  3. 13 years

  4. 14 years

  5. 16 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Riya's age be x and Sonia's age be 3x. The difference in their ages is 26 years (since Sonia was 26 when Riya was born). So, 3x - x = 26, which means 2x = 26, so x = 13.

AI explanation

Sonia is always 26 years older than Riya, meaning if Riya's present age is x, Sonia's present age is x + 26. Given their age ratio is 1 : 3, we have x / (x + 26) = 1 / 3. Solving this linear equation gives 3x = x + 26, so 2x = 26 and x = 13. Riya is 13 years old.

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