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? A. 21

Answer 1

Hank = 9

Explanation:

Let Sam = S

Let Hank = H

S + H = 24

S/H = 5/3 Cross multiply

3S = 5H

S = 5/3 * H

S + H = 24

(5/3)*H + H = 24

(5/3)*H + 3/3*H = 24

8/3 * H = 24

8/3 * 3/8 * H = 3/8 * 24

H = 9