Question

Alex is w years old his sister claudia is three years younger than alex the product of their ages is 180 a) set up an equation to represent this information b) solve your equation to find alex's age

Answer 1

Answer: Alex is 15 years

Step-by-step explanation:

Since Alex is w years old and her sister is three years younger than him. The age of his sister will be:

= w - 3.

We will then multiply their ages and equate to 180. This will be:

w × (w - 3) = 180

w² - 3w = 180

w² - 3w - 180 = 0

w² - 15w + 12w - 180 = 0

w(w - 15) + 12(w - 15) = 0

(w + 12)(w - 15)

w - 15 = 0

w = 0 + 15

w = 15 years

Alex is 15 years, her sister is 12 years.