SOLUTION: Find four consecutive even integers so that the sum of the first three is 2 more than twice the fourth

SOLUTION: Find four consecutive even integers so that the sum of the first three is 2 more than twice the fourth

Algebra.Com

Question 232816: Find four consecutive even integers so that the sum of the first three is 2 more than twice the fourth

Answer by mando271(42) (Show Source): You can put this solution on YOUR website!
let the 1st integer be x.
since they have to be consecutive, the 2nd will be x+2, the 3rd x+4 and the 4th x+6.
so,
x+x+2+x+4 = 2(x+6)+2, now solve for x
3x+6 = 2x+12+2
x=8
so substituting 8 for x. the integers are:
8, 10, 12, 14
RELATED QUESTIONS
Find four consecutive even integers so that the sum of the first three is 2 more than... (answered by stanbon)

find four consecutive even interges such that the sum of the first three is two more than (answered by mananth)

find four consecutive even integers where the sum of the first three is twice the... (answered by edjones)

FIND FOUR CONSECUTIVE EVEN INTEGERS SO THAT THE SOME OF THE FIRST THREE IS TO MORE THAN... (answered by ewatrrr)

find 3 consecutive even integers such that the sum of the first three is 24 more than the (answered by kunal_122)

Find four consecutive even integers such that two times the sum of the first and second... (answered by KMST)

1) find 4 consecutive even integers such that the sum of twice the first, five times the... (answered by ankor@dixie-net.com)

1) find three positive consecutive odd integers such that the largest decreased by twice... (answered by stanbon)

find four consecutive integers such that the sum of the first three is 54 more than the... (answered by mananth,josmiceli,Maths68)