SOLUTION: Cathy and Ernie had four consecutive even integers. They found that the product of the second and fourth was 16 less than the product of -3 and the sum of the first and third. What

Question 1192053: Cathy and Ernie had four consecutive even integers. They found that the product of the second and fourth was 16 less than the product of -3 and the sum of the first and third. What were their integers?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Cathy and Ernie had four consecutive even integers. They found that the product of the second and fourth was 16 less than the product of -3 and the sum of the first and third. What were their integers?
------------
Use n-2, n, n+2 and n+4
---
n*(n+4) + 16 = -3*((n-2)+(n+2))
n^2 + 4n + 16 = -6n
n^2 + 10n + 16 = 0
(n + 2)*(n + 8) = 0
n = -2 ----> -4, -2, 0, +2 (If zero is considered an even integer)
==================
n = -8 ----> -10, -8, -6, -4

RELATED QUESTIONS
Cathy and Ernie had four consecutive even integers. They found that the product of the... (answered by ikleyn,Boreal)

Find four consecutive even integers such that the sum of the first and second is 70 less... (answered by mananth)

Sir Lancelot found four consecutive even integers such that 10 times the sum of the first (answered by chessace)

Find four consecutive even integers such that the product of -2 and the sum of the first... (answered by Fombitz)

Tony found four consecutive even integers such that 5 times the sum of the first and... (answered by math_tutor2020,mananth)

find four consecutive even integers such that the sum of the second and fourth is... (answered by checkley75)

Find four consecutive even integers such that the sum of the second and fourth be... (answered by RAY100)

find the 4 consecutive even integers such that the sum of the first and the fourth even... (answered by vleith)

can you find the second of four consecutive even integers such that the product of the... (answered by stanbon)