SOLUTION: find three consecutive integers such that twice the sum of the first two is 2 less than 3 times the third

Algebra.Com
Question 794362: find three consecutive integers such that twice the sum of the first two is 2 less than 3 times the third
Answer by CubeyThePenguin(3113)   (Show Source): You can put this solution on YOUR website!
consecutive integers: (x-1), x, (x+1)

2(x-1 + x) = 3(x + 1) - 2
2(2x - 1) = 3(x + 1) - 2
4x - 2 = 3x + 1
x = 3

The integers are 2, 3, and 4.

RELATED QUESTIONS

"Find the three consecutive integers such that 2 times the sum of the first two is 1 less (answered by clearblueskai)
1.find four consecutive integers such that twice the smallest is 12 more than the largest (answered by Mathtut)
1.find four consecutive integers such that twice the smallest is 12 more than the largest (answered by edjones)
Find three consecutive even integers such that the sum of three times the first, and... (answered by sachi)
find three consecutive integers such that the sum of twice the second and three times the (answered by vicgonzerx)
1) find 4 consecutive even integers such that the sum of twice the first, five times the... (answered by ankor@dixie-net.com)
Find three consecutive even integers such that 3 times the sum of the first two is 48... (answered by Nate)
Please help me solve this word problem: Find three consecutive even integers such that (answered by ewatrrr)
find three consecutive even integers such that the sum of the first two is 56 less than 3 (answered by thesvw)