SOLUTION: What are four consecutive even integers such that the sum of the first and the third is six less than the largest?

Question 525298: What are four consecutive even integers such that the sum of the first and the third is six less than the largest?
Found 2 solutions by oberobic, MathTherapy:
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Four consecutive even integers could be defined as w, x, y, and z.
But then you would have 4 unknowns, so you would need 4 equations to solve the problem.
However, we're told they're consecutive even integers, so you can define them as
x, x+2, x+4, and x+6. Now you have only one unknown.
.
x + x+4 + 6 = x+6
.
2x = -4
x = -2
.
So the numbers are -2, 0, 2, and 4

Answer by MathTherapy(10858) (Show Source): You can put this solution on YOUR website!
What are four consecutive even integers such that the sum of the first and the third is six less than the largest?

Let the 1st even integer be F

Then others are F + 2, F + 4, and F + 6

We then have: F + F + 4 = F + 6 - 6

2F + 4 = F

F = - 4

Therefore, the 4 even integers are , , , and

---------
Check
---------
Sum of 1st & 3rd: - 4 + 0, or - 4

Six (6) less than largest: 2 - 6, or - 4

Sum of 1st & 3rd (- 4) = 6 less than largest (- 4)

Send comments and �thank-yous� to �D� at MathMadEzy@aol.com
RELATED QUESTIONS
find three consecutive even integers such that four times the sum of the first and third... (answered by edjones)
Find. Three consecutive positive even integers such that the sum of the second and third... (answered by richwmiller)
What is the largest of 3 consecutive positive even integers such that the product of the... (answered by LinnW)
Find three consecutive even integers such that the sum of three times the first, and... (answered by sachi)
find 3 consecutive even integers such that 4 times the sum of the first and the third is... (answered by only4christ)
Find three consecutive even integers such that six times the sum of the first and the... (answered by MathLover1)
find the sum of three consecutive even integers such that four times first and three... (answered by CubeyThePenguin)
Find four consecutive even integers such that the product of -2 and the sum of the first... (answered by Fombitz)
Find four consecutive even integers such that the sum of the first and second is 70 less... (answered by mananth)