# Bill was eight times the age of his son - Math Riddle

Age can be a fascinating puzzle, especially when it involves the dynamic between a parent and child. In this blog post, we'll explore a mind-boggling question about Bill and his son, Bill Jr. Get ready to embark on a journey of numbers and relationships as we uncover the ages of this father-son duo.

Eight years ago, Bill was eight times the age of his son Bill Jr. Today, if you add their ages together, they add up to 52. How old are Bill and his son?

Answer:Bill is 40, and Bill Jr. is 12.

Explanation :

Eight years ago, Bill Jr. was x years therefore Bill was 8x

Today

(x+8) +(8x+8) = 52

x+8 + 8x+8 = 52

9x + 16 = 52

9x = 52–16

9x = 36

Therefore x = 4

Bill Jr. is

x + 8 = 12

4 + 8 = 12 years old

Bill is

8x + 8 = 32 + 8

32 + 8 = 40 years old

Therefore 12 + 40 = 52 years.

By delving into the mathematical relationships between Bill and Bill Jr.'s ages, we've successfully solved the puzzle. Bill is 44 years old, and his son Bill Jr. is 8 years old. It's a reminder that math can provide insights into even the most personal aspects of our lives. Keep exploring the mysteries of numbers!