Question 1058403
Let x represent Beth's age.


Since Danny was born 4 years before Beth, his age is represented by x + 4.


And since the product of their ages is 96 you can write:


x(x + 4) = 96


x^2 + 4x = 96


x^2 + 4x - 96 = 0


(x + 12)(x - 8) = 0


x = -12, x = 8


Since Beth's age must be positive, the x = -12 solution is discarded.


Solution: Beth's age is 8.