The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?

Solution:

Given:

the ratio of Sam’s age to Hank’s age is 5 to 3 and sum of their ages is 24.

Hence,

Sam : Hank = 5 : 3

Let x be a constant of proportionality

⇒ 5x + 3x = 24

⇒ 8x = 24

⇒ x = 3

Now,

5x = 5 × 3 = 15 years = Age of Sam

3x = 3 × 3 = 9 years = Age of Hank

The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?

Summary :

If given the ratio of sam and hank’s ages is 5 to 3 and their sum is 24 then the age of hank will be 9 years.