The ratio of SAMs age to hank is 5 to 3. If the sum of their age is 24. How old is is hank?

Lets consider SAM's age is 'x' and Hank's age is 'y'

So as per given data Sam's age is 5/3 times of Hank's age

so x = 5/3 * y

3x = 5y - - > equation 1

and also sum of their ages is 24

so, x + y = 24

we need to find Hank's age (y)

so x = 24 - y

Now replace x value in equation 1

3 (24-y) = 5y

72-3y = 5y

72 = 3y+5y

8y = 72

y = 72/8

y = 9 years.

So the Hank's age is 9 years

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