Multiple choice

The ages of a man and his son is in the ratio of 7: 2. After 15 years, they would be in the ratio of 2 : 1, what was father's age when son was born ?

  1. 25 years

  2. 30 years

  3. 35 years

  4. 42 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let ages be 7x and 2x. (7x+15)/(2x+15) = 2/1 => 7x+15 = 4x+30 => 3x=15 => x=5. Father is 35, son is 10. When son was born (10 years ago), father was 35-10 = 25.

AI explanation

Let the present ages of the man and his son be 7x and 2x. After 15 years, the equation (7x + 15)/(2x + 15) = 2/1 holds true. Cross-multiplying gives 7x + 15 = 4x + 30, meaning 3x = 15 and x = 5. The father's present age is 35 and the son's is 10, so when the son was born the father was 35 minus 10, which is 25 years.

Keep practicing — related questions