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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?

Respuesta :

TaeKwonDoIsDead

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

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