Question 1155134

Jess's age is six years less than three times Ethan's age. The product of their ages is 45. What is each of their ages

Let  Ethan's age =x

Jess's age 3x-6

x(3x-6)= 45

3x^2-6x-45=0
divide by 3

x^2-2x-15=0

(x-5)(x+3)=0

x=5 or -3

Ignore negative

Ethan's age =5

Jess's age 9