Answer:
-4 and -2.
Step-by-step explanation:
First of all,... OH MAN,... that is serious brain twisting logic (if you can call it logic) and to be fair I had to ask a math expert person I'm acquainted with,... cause I didn't know either,... so nothing to be ashamed about,...
If we let 2x equal the lesser of the two consecutive EVEN integers, and we let y equal 2x+2 be the greater of the two consecutive EVEN integers,
(For example, this is like x = 1, so 2x=2, y=4 or x=7, so 2x=14 and y=16, we add 2 to the lesser even integer to get the next CONSECUTIVE even integer.)
This, y=2x+2, is one of the equations we need. To get the other,
"Four times the lesser (4*2x) is (=) 12 less (-12) than twice the greater (2y)."
Doing it all in math, we get:
4(2x) = 2y - 12
This simplifies to:
8x = 2y - 12
And using the first equation (y=2x+2) we can substitute "2x+2" in for "y"
8x = 2(2x + 2) - 12
Simplify the right side by first distributing:
8x = 4x + 4 - 12
Combine like terms on the right.
8x = 4x - 8
Subtract 4x from both sides
4x = -8
Divide both sides by 4
x= -2
Remember, our lesser even integer is 2x, so the lesser integer is 2*(-2)= -4, the greater is (-4)+2= -2.
Final answer: The two consecutive even integers are -4 and -2.
To be even more fair I don't fully understand this completely either,... he explained it to me and I and <em>getting</em> it,... so anyway,... Hope it helps, and
Chow,...!
