Multiple choice

The average age of a man and his daughter is 46 years. The ratio of their ages is (15:8) respectively. What will be the respective ratio of their ages after 8 years?

  1. 8:5

  2. 10:17

  3. 17:10

  4. 5:8

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

Let ages be 15x and 8x. Average is 46, so sum = 92. Thus 23x = 92, giving x = 4. Current ages: man = 60 years, daughter = 32 years. After 8 years: man = 68, daughter = 40. Ratio = 68:40 = 17:10. The key insight is to find the multiplier x from the average, then add 8 to both ages before simplifying the ratio.