Question
The product of the ages of Sally and Joey now is 175 more than the product of their ages 5 years prior. If Sally is 20 years older than Joey, what are their current ages?
- J= 10 years, S= 30 years
- J= 30 years, S= 10 years
- J=20 years, S= 40 years
- J=40 years, S= 20 years
Hint:
In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0.
The correct answer is: J= 10 years, S= 30 years
The equations are:
Substituting for gives us:
This means that Joey is 10 years old and Sally is 30 years old.
There are two solutions of a quadratic equation.
Related Questions to study
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Select all polynomials that factor into a product into two binomials.
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Select all polynomials that factor into a product into two binomials.
a) 25m2 – 9n2
b) 25m2 – 30mn + 9n2
c) 25m2 – 30mn – 9n2
d) 25m2 + 30mn + 9n2
e) 25m2 + 9n2
Factorisation is breaking down of a polynomial into polynomials of lesser degrees.
