SOLUTION: If the first and third of three consecutive odd integers are added, the result is 57 less than five times the second integer. Find the third integer.

SOLUTION: If the first and third of three consecutive odd integers are added, the result is 57 less than five times the second integer. Find the third integer.

Algebra.Com

Question 233925: If the first and third of three consecutive odd integers are added, the result is 57 less than five times the second integer. Find the third integer.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
Let x, x+2 & x+4 be the 3 odd integers.
x+x+4=5(x+2)-57
2x+4=5x+10-57
2x-5x=10-57-4
-3x=-51
x=-51/-3
x=17 ans for the first odd integer.
17+2 is the second osdd integer.
17+4=21 is the third odd integer.
Proof:
17+21=5*19-57
38=95-57
38=38
RELATED QUESTIONS
If the first and third of three consecutive odd integers are added, the result is 57 less (answered by Mathtut)

if the first and third of three consecutive odd intergers are added, the result is 57... (answered by scott8148)

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

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 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)

If the first and third of three consecutive odd integers are added, the result is 45 less (answered by stanbon)

If the first and third of three consecutive odd integers are added, the result is 87 less (answered by Alan3354)

if the first and third of three consecutive odd integers are added, the result is 87 less (answered by mananth,MathTherapy)