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nikitadnepr [17]
3 years ago
7

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 t

o represent this information b) solve your equation to find alex's age
Mathematics
1 answer:
Lelu [443]3 years ago
8 0

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.

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Given the information:

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