SOLUTION: The sum of three consecutive even numbers is 150. Find the numbers. I have tried tried a + b+c = 150. I have also tried. (x+1)+(x+2)+(x+3). I don't think I am doin this problem

Question 275343: The sum of three consecutive even numbers is 150. Find the numbers. I have tried tried a + b+c = 150. I have also tried. (x+1)+(x+2)+(x+3). I don't think I am doin this problem right. However, I know the consecutive even numbers before 150 are 148, 146, 144..Help.
Dawn
Found 3 solutions by jim_thompson5910, stanbon, Alan3354:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
"The sum of three consecutive even numbers is 150" means that or more simply . Let's solve this equation for 'x'.

For more help with solving linear equations, check out this linear equation solver.

Solved by pluggable solver: Linear Equation Solver

Start with the given equation.

Combine like terms on the left side.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

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Answer:

So the solution is

Since , this means that the three numbers are 48, 50 and 52
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The sum of three consecutive even numbers is 150.
---
A number is even only if it is a multiple of 2.
--------------------
1st even : 2x
2nd even : 2x +2
3rd even : 2x + 4
--------------------------
Equation:
Add those to get:
6x + 6 = 150
6x = 144
x = 24
---
2x = 48
2x+2 = 50
2x+4 = 52
================
Cheers,
stan H.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
150/3 = 50, the middle number
--> 48, 50, 52

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