SOLUTION: Given three consecutive even integers. Find the largest integer if the second plus twice the third is 4 times the first

Question 1142958: Given three consecutive even integers. Find the largest integer if the second plus twice the third is 4 times the first

Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.

If the numbers are  n, (n+2) and (n+4), then your equation is


    (n+2) + 2*(n+4) = 4n.


Simplify and solve for n


    n+2 + 2n + 8 = 4n

    2        + 8 = 4n - n - 2n

    10           = n


ANSWER.  The numbers are 10, 12 and 14;  the largest is 14.

RELATED QUESTIONS
Given three consecutive even integers. Find the largest integer if the second plus twice... (answered by ikleyn)

Find three consecutive even integers such that four times the third integer is four more... (answered by ankor@dixie-net.com)

find three consecutive even integers so that first plus twice the second is twice the... (answered by nerdybill)

Find three consecutive even integers such that twice the second plus 3 times the third is (answered by CubeyThePenguin)

Three times the second of three consectutive even integers is twelve less than twice the... (answered by MathTherapy)

Find three consecutive odd integers with the property that 3 times the first integer plus (answered by ewatrrr,advanced_Learner)

Find three consecutive even integers such that the first plus twice the second plus four... (answered by rajagopalan)

Three times the first of three consecutive even integers is four more than twice the... (answered by CubeyThePenguin)

Find three consecutive integers such that the first integer plus two times the second... (answered by richwmiller)