Multiple choice

Difference between the present ages of Kamal and his younger brother is 6 years. If 6 years earlier, their ages were in the ratio 7 : 5, then find the present age of Kamal's brother.

  1. 21 years

  2. 24 years

  3. 28 years

  4. 18 years

  5. 27 years

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A Correct answer
Explanation

Let ages 6 years ago be 7x and 5x. Present ages are 7x+6 and 5x+6. Difference is (7x+6) - (5x+6) = 2x = 6, so x = 3. Kamal's brother's present age is 5x + 6 = 5(3) + 6 = 21.

AI explanation

Since the age difference always remains constant, Kamal and his brother are 6 years apart, meaning 6 years ago their ages were also in a ratio that differs by 2 units, making 1 unit equal to 3 years. Kamal's brother's age 6 years ago was 5 * 3 = 15 years. Therefore, his present age is 15 + 6 = 21 years. The result is 21 years.