Please assist?

Question

The product of two consecutive positive even integers is 360. Find the integers.

Answer 1

that would be:

18 x 20 =360

solved from

X*(x+2)=360

or trial and error with a calculator :P

Answer 2

Let's see: brushing off my math I'd say the first task is to translate that sentence into an equation. Indicating the first positive even integer by P and the next even one above it as Q here it is:

(P)(Q) = 360. But we also know that Q = P + 2 because it is the next even integer above P. This means that:

Psq + 2P - 360 = 0; so we solve for P and get either:
+/- 18, or -/+ 20.

We know the answer must be positive, so we try 20. This will not work, as if P = 20 that means Q would have to be 22, yet their product is too high. This means that P must be = 18, therefore Q must be equal to 20.

So the two integers are 18 and 20.
Q.E.D.

Answer 3

178 + 182 = 360

Answer 4

let one integer=x
let other integer=x+2
According to Ques
x*(x+2)=360
x^2+2x=360
x^2+2x-360=0(it becomes an quadratic equation)
solve the equation by middle term splitting & you'll get the answer

Answer 5

hello people! the PRODUCT means multiplication! 18 x 20 is right.

Answer 6

It's not possible. 179 would be the answer. (179 + 181), but those are both odd numbers.

Answer 7

179.5+180.5. they're consecutive if you start at .5