Question

Hal's sister is 5 years older than Hal. The product of their ages is 456. How old are Hal and his sister?

Answer 1

well let Hal's age by x

then his sister's age is x + 5

so that means

\[x \times (x + 5) = 456\]

distribute and solve the quadratic for x

Answer 2

i did that and i got 5 +- 43

Answer 3

Is that correct ?
How would I change that to the form i need?

Answer 4

well you have

\[x^2 + 5x - 456 = 0\]

so it factors to

(x + 24)(x - 19) = 0

Answer 5

so you only need the positive solution, which is Hal's age

add5 years for his sister's age

Answer 6

well, i attempted at the quadratic equation. but i don't understand as to how i got
5+or-43 . would that be 43+ -5?