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. [tex]\frac{h}{a}=\frac{4}{9}[/tex]
2. a - 15 = h
We can plug in equation 2 into equation 1 to solve for aunt's age:
[tex]\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[/tex]
Holly's aunt's age is 27
