SOLUTION: the second of three consecutive odd numbers diminished by twice the third and increased by 16 gives a value that is three times that of the first number diminished by 2. I need hel

Question 756387: the second of three consecutive odd numbers diminished by twice the third and increased by 16 gives a value that is three times that of the first number diminished by 2. I need help figuring out what the integers are.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Let x be our first odd integer, then x+2 and x+4 are the second and third consecutive odd integers.
now from the word problem we can write
3x -2 = (x+2) -2*(x+4)+16
3x -2 = x+2 -2x-8 +16
3x = x+4 -2x-8 +16
3x = -x +12
4x = 12
x=3
so our three consecutive odd integers are 3, 5, 7

RELATED QUESTIONS
find three consecutive odd integers such that twice the sum of the first and third... (answered by scott8148,ewatrrr)

1) find 4 consecutive even integers such that the sum of twice the first, five times the... (answered by ankor@dixie-net.com)

Find the biggest of three consecutive odd numbers such that the product of the second and (answered by htmentor)

Subject: Consecutive odd integers Choose three consecutive odd integers such that... (answered by josgarithmetic,ikleyn,MathTherapy)

find three consecutive odd integers such that twice the second integer increased by six... (answered by MathLover1)

The product of three consecutive odd integers is 400. The second increased by ten equals... (answered by Alan3354,Aldorozos)

find three consecutive odd intergers such that twice the sumof the first and third more... (answered by algebrahouse.com)

A student write three consecutive odd numbers, he multiply first by 2, second number by 3 (answered by mananth)

find 3 consecutive even numbers such as that sum of the first and the third consecutive... (answered by Explosionzz,mananth)