Multiple choice

Raman's age is one-fourth of Akbar's age. After 4 years, Akbar's age would be two times more than Raman's age. What could be the ratio of Akbar's age to Raman's age 6 years ago?

  1. 1 : 13

  2. 13 : 1

  3. 2 : 15

  4. 15 : 2

  5. 4 : 1
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B Correct answer
AI explanation

Let Akbar's present age be 4x, making Raman's present age x. In 4 years, the problem states Akbar's age will be two times more than Raman's, meaning his age equals three times Raman's age, so 4x + 4 = 3(x + 4). Solving this linear equation gives x = 8, meaning their ages 6 years ago were 26 and 2. The ratio of Akbar's age to Raman's age 6 years ago is therefore 13 : 1.

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