Question

The ratio of Holly's age to that her aunt is 4:9. When holly was born her aunt was 15 years old. How old is holly's aunt now?

Answer 1

27 years

Explanation:

Let Holly's age be h and Aunt's age be a. We can setup 2 equations and solve.

1.
`(h)/(a)=(4)/(9)`

2. a - 15 = h

We can plug in equation 2 into equation 1 to solve for aunt's age:

`(h)/(a)=(4)/(9)\\(a-15)/(a)=(4)/(9)\\9(a-15)=4a\\9a-135=4a\\5a=135\\a=(135)/(5)=27`

Holly's aunt's age is 27