Question

The average age of a man and his son is 33 years. The ratio of their ages is 8:3. What is the man's age ?

Answer 1

Find the sum of their age:

Average of their age = 33

sum of their age = 33 x 2 = 66 years

Define x:

Ratio of man : son = 8 : 3

Let x be the constant ratio:

Ratio of man : son = 8x : 3x

Solve x:

Their sum is 66:

8x + 3x = 66

11x - 66

x = 6

Find their age:

man = 8x = 8(6) = 48 years old

Answer: The man is 48 years old.