Question 332907

solution:
Variables
x = first consecutive odd integer
x + 2 = second consecutive odd integer
x + 4 = third consecutive odd integer

HINT: Break them up into smaller pieces if you're having trouble.

Given: 4 less 
Means: - 4

Given: than twice the second 
Means: 2 * (x + 2) = 2(x + 2)

Given: has the same value as 
Means: =

Given: three times
Means: 3 *

Given: the number that is one more than third
Means: 1 + x + 4 =

Put them all back together.

Given: 4 less than twice the second has the same value as three times the number that is one more than third. 
Means: 2(x + 2) - 4 = 3(1 + x + 4)

Simplify.
2(x + 2) - 4 = 3(x + 5)

Distribute.
2(x) + 2(2) - 4 = 3(x) + 3(5)
2x + 4 - 4 = 3x + 15
2x = 3x + 15

Subtract 3x from both sides.
2x - 3x = 3x + 15 - 3x
-x = 15

Divide both sides by -1.
-x / -1 = 15 / -1
x = -15

Plug this solved value into the variables.
x = first consecutive odd integer = -15
x + 2 = second consecutive odd integer = -15 + 2 = -13
x + 4 = third consecutive odd integer = -15 + 4 = -11

ANSWER: The 3 numbers are -15, -13, and -11