Question

PLEASE HELP ME!!!! WILL REWARD BRAINLIEST!!!!!

Answer 1

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 getting it,... so anyway,... Hope it helps, and

Chow,...!