Question

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?

Answer 1

5:3 :Sum is: 8

10:6 :Sum is: 16

15:9 :Sum is: 24

The ration is of Sam to Hank, so Sam would be the first number, and Hank would be the second number.

Hank is 9 years old.

Answer 2

Hank is 9 years old. Explanation - What I did is I made a chart, and the categories were Sam and Hank. Then all I did was add 5 to Sam's age and added 3 to Hank's age. I repeated this until the sum of the ages equaled 24.