Question

the product of two consecutive even integers is 224. Find the integers.

Answer 1

Hint:

If you begin with an even number x, then the next number will be two units from x, hence x + 2

Therefore two consecutive integers will be x + (x+2)

If we set this equal to 224, then we'll have

x + x + 2 = 224 or simply

2x + 2 = 224

Solve for x

Answer 2

it's product, so it's actually x^2 +2x =224
224 = 2*2*2*2*2*7
now try how to divide the two group and make two consecutive integer.
16*14

Answer 3

@Hero it seems you have misunderstood the question :) it was looking for the PRODUCT not SUM ^_^

@zhantshen...did you use trial and error?