Multiple choice

The ages of Preeti and Sam are in the ratio of 3 : 1. After 18 years, the respective ratio will be 2 : 1. What is Sam's present age?

  1. 20 years

  2. 72 years

  3. 54 years

  4. 18 years

  5. 15 years

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

Let Preeti's age be 3x and Sam's age be x. After 18 years, the ratio is (3x + 18) / (x + 18) = 2/1. Solving this, 3x + 18 = 2x + 36, which gives x = 18. Sam's present age is x = 18.

AI explanation

Let the present ages of Preeti and Sam be 3X and X years. After 18 years, the new ratio establishes the equation 3X + 18 divided by X + 18 equals 2. Cross-multiplying yields 3X + 18 = 2X + 36, so X equals 18, which means Sam's present age is 18 years.