SOLUTION: If the first and third of three consecutive odd integers are added, the result is 75 less that five times the second integer. Find the third integer. A)23 B)27 C)25 D)50

Algebra ->  Sequences-and-series -> SOLUTION: If the first and third of three consecutive odd integers are added, the result is 75 less that five times the second integer. Find the third integer. A)23 B)27 C)25 D)50      Log On


   



Question 130509: If the first and third of three consecutive odd integers are added, the result is 75 less that five times the second integer. Find the third integer.
A)23 B)27 C)25 D)50

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Let the integers be x, x+2, and x+4.
x+x+4=5(x+2)-75
2x+4=5x+10-75
2x+4=5x-65
2x-2x+4+65=5x-2x-65+65
69=3x
3x/3=69/3
x=23
x+4=27 Ans
.
Ed