The product of two consecutive even integers is 440, find the

Bear in mind that, if you multiply any integer, by 2,  you always get an EVEN number, no matter whatsoever what that integer is.  Say 2*2 = even, 17*2= even, 37*2 = even and so on.

So, let's pick a reference integer, say "a", so, 2 * a, we know is an EVEN integer, so our first integer is 2a then.

Now, to get a consecutive integer from any even integer, all you do is, hop backwards one spot, or forwards one spot, like say, 2 + 2, or 2-2, or  6 + 2, or 6 -2 and so on.

Therefore, since our first even integer is 2a, then the next one can just be say, 2a + 2.

Now, we know their product is 440, thus



so.. recall that "a" was only our reference integer, so the even number integers are then 2a and 2a + 2, or 2(10)  and 2(10) + 2.