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

38.Math Riddles

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?

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.