SOLUTION: HELP!!!! 4 times the third, of three consecutive integers, is 51 less than 3 times the sum of the first and second integers. Find the third integer?

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Question 838995: HELP!!!! 4 times the third, of three consecutive integers, is 51 less than 3 times the sum of the first and second integers.
Find the third integer?
Found 2 solutions by ewatrrr, josmiceli:
Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!

Hi,
three consecutive integers: , ,
Question states***
4 times the third is 51 less than 3 times the sum of the first and second integers.
***4(x+2) = 3[x + (x+1)] -51 | Solving for x
4x + 8 = 3(2x+1) - 51
4x + 8 = 6x + 3 - 51
56 = 2x
28 = x , the first Integer. The third integer is
CHECKING our answer***

120 = 120
Wish You the Best in your Studies.

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let the integers be , , and

The 3rd integer is 30
check:

OK