Multiple choice

The ratio of the ages of Amar and Kabir at present is 2 : 3, respectively. After three years, the ratio of their ages will be 3 : 4. Find the present age of Amar.

  1. 6 years

  2. 9 years

  3. 15 years

  4. 12 years

  5. None of these

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A Correct answer
Explanation

Present ages 2x, 3x. (2x+3)/(3x+3) = 3/4 => 8x+12 = 9x+9 => x=3. Amar's age = 2x = 6.

AI explanation

Let Amar's and Kabir's present ages be 2x and 3x years respectively. After 3 years, the ratio of their ages yields the equation (2x + 3) divided by (3x + 3) equals 3 divided by 4. Cross-multiplying gives 8x + 12 = 9x + 9, which simplifies to x = 3. Amar's present age is 2 times 3, or 6 years.