Multiple choice

The ratio of a man's age and his son's age is 7:3 and the product of their ages is 756. The ratio of their ages after 6 years will be ?

  1. 11:7

  2. 5:2

  3. 2:1

  4. 13:9

  5. None of these

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

Let ages be 7x and 3x. Product: 21x^2 = 756. x^2 = 36, so x = 6. Ages are 42 and 18. After 6 years, ages are 48 and 24. Ratio = 48:24 = 2:1.

AI explanation

Let the present ages of the man and his son be 7x and 3x years. Their product is 21x^2 equals 756, so x^2 equals 36 and x equals 6. Their present ages are 42 years and 18 years, and in 6 years they will be 48 and 24 years, giving a ratio of 2:1.