SOLUTION: Find the largest of four consecutive odd integers such that the sum of the first and the fourth is 27 less than three times the first integer.

Question 257212: Find the largest of four consecutive odd integers such that the sum of the first and the fourth is 27 less than three times the first integer.
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
Find the largest of four consecutive odd integers such that the sum of the first and the fourth is 27 less than three times the first integer.
Let x be the smallest of the integers. Then the other three are x+2, x+4 and x+6.
We know then that:
x + (x+6) = 3*x - 27
Solving for x:
2*x + 6 = 3*x - 27
x = 33
The larger integer then is x + 6 = 39.
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