Multiple choice

The ratio of the present ages of Ashok and Arif is 3 : 4. Four years ago, the ratio of their ages was 5 : 7. What are the respective present ages of Ashok and Arif?

  1. 15 years and 20 years

  2. 24 years and 32 years

  3. 16 years and 24 years

  4. 24 years and 36 years

  5. 18 years and 24 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let ages be 3x and 4x. (3x-4)/(4x-4) = 5/7. 21x-28 = 20x-20. x=8. Present ages: 3*8=24, 4*8=32.

AI explanation

Let the present ages of Ashok and Arif be 3x and 4x years. Four years ago, the ratio of their ages was 5 to 7, giving the equation (3x - 4) divided by (4x - 4) equals 5 divided by 7. Cross-multiplying yields 21x - 28 = 20x - 20, which simplifies to x = 8. The respective present ages are 24 years and 32 years.

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