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 (from a) to find alex's age​

Respuesta :

Answer: The equation is w*(w-3)= 180 & Alex is 15 years old

Step-by-step explanation:

Alex= w years old

Claudia= (w-3) years old

a) Equation, w*(w-3)= 180

b) Now,

         w*(w-3)= 180

      ⇒ w²-3w-180= 0

      ⇒ (w+12)*(w-15)= 0

      ⇒ w= 15

Alex is 15 years old

Claudia is (15-3) = 12 years old