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

Answer:

27 years

Step-by-step explanation:

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

1. $\frac{h}{a}=\frac{4}{9}$

2. a - 15 = h

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

$\frac{h}{a}=\frac{4}{9}\\\frac{a-15}{a}=\frac{4}{9}\\9(a-15)=4a\\9a-135=4a\\5a=135\\a=\frac{135}{5}=27$

Holly's aunt's age is 27