SOLUTION: If the first and third of three consecutive odd integers are added, the result is 69 less than five times the second integer. Find the third integer. I dont understand how to

Question 332937: If the first and third of three consecutive odd integers are added, the result is 69 less than five times the second integer. Find the third integer.

I dont understand how to solve this problem or even how to set problem up
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the odd integers be x,x+2,x+4
..
x+x+4 =5(x+2)-69
2x+4=5x+10-69
2x+4=5x-59
add -4 to both sides
2x+4-4=-59-4+5x
2x=-63+5x
add -5x to both sides
2x-5x= 63+5x-5x
-3x=-63
divide by -3
-3x/-3 = -63/-3
x=21
the numbers are 21, 23, 25
CHECK
21+25 = 5*(23)-69
46=115-69
46=46
RELATED QUESTIONS
If the first and third of three consecutive odd integers are added, the result is 69 less (answered by ewatrrr)

If the first and third consecutive odd integers are added, the result is 69 less than... (answered by Fombitz)

If the first and third of three consecutive odd integers are added, the result is 81 less (answered by Alan3354)

Solve. Please show all of your work. If the first and third of three consecutive odd... (answered by stanbon)

Solve. Please show all of your work. If the first and third of three consecutive odd... (answered by boilpoil)

Solve, show all work If the first and third of three consecutive odd integers are added, (answered by robertb)

The first and third of three consecutive odd intergers are added, the result is 69 less... (answered by stanbon)

If the first and third of consecutive odd integers are added, the result is 69 less than... (answered by John10)

If the first and third of three consecutive odd integers are added together, the result... (answered by Earlsdon)

if the first and third of three consecutive odd integers are added, the result is 63 less (answered by mangopeeler07)