SOLUTION: Find three consecutive even integers such that twice the second plus 3 times the third is 7 times the first.

SOLUTION: Find three consecutive even integers such that twice the second plus 3 times the third is 7 times the first.

Algebra.Com

Question 738686: Find three consecutive even integers such that twice the second plus 3 times the third is 7 times the first.

Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
consecutive even integers: (x-2), x, (x+2)

2x + 3(x+2) = 7(x-2)
2x + 3x + 6 = 7x - 14
20 = 2x
x = 10

The integers are 8, 10, and 12.

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

find 3 consecutive even integers such that the second plus twice the third is four times... (answered by josgarithmetic)

Find three consecutive even integers such that twice the first minus three times the... (answered by algebrahouse.com)

find three consecutive even integers such that three times the first plus twice the third (answered by unlockmath)

Find three consecutive even integers such that three times the first plus six times the... (answered by bonster)

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

find three consecutive odd integers such that the first plus the second plus three times... (answered by kevwill)

find 3 consecutive even integers such that two times the first integer, plus two times... (answered by josgarithmetic)

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