SOLUTION: I need help with a few questions. I don't understand how to solve this. 'Multiplying a certain even number by 4 then subtracting 16 gives you the next consecutive even number. Find

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: I need help with a few questions. I don't understand how to solve this. 'Multiplying a certain even number by 4 then subtracting 16 gives you the next consecutive even number. Find      Log On


   

Question 773225: I need help with a few questions. I don't understand how to solve this. 'Multiplying a certain even number by 4 then subtracting 16 gives you the next consecutive even number. Find the original number.' Please explain to me if you can how I am suppose to even start off on solving this. I am very confused. Thank you!
Found 3 solutions by mananth, MathTherapy, Edwin McCravy:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the number be x
The next consequite even number will be x+2
multiply by 4
we get 4x
subtract 16
we get
4x-16=x+2
4x-x-16=x-x+2
3x-16=2
3x=18
x=6
The number

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

I need help with a few questions. I don't understand how to solve this. 'Multiplying a certain even number by 4 then subtracting 16 gives you the next consecutive even number. Find the original number.' Please explain to me if you can how I am suppose to even start off on solving this. I am very confused. Thank you!

Let original number be N
Then NEXT CONSECUTIVE EVEN NUMBER = N + 2

4N equates to: “Multiplying a certain even number by 4”
– 16 equates to: “then subtracting 16”
= N + 2 equates to: “gives you the next consecutive even number”

Putting it all together, we get: 4N - 16 = N + 2

Solving this equation, we get:
4N – N = 2 + 16
3N = 18

N, or original even number = 18%2F3, or highlight_green%286%29

You can do the check!!

Further help is available, online or in-person, for a fee, obviously. Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
'Multiplying a certain even number by 4 then
subtracting 16 gives you the next consecutive even
number.
We will replace the italicized words a certain 
even number"  with the letter n.  And we have:

'Multiplying n by 4 then subtracting 16 gives you
the next consecutive even number.
We will replace the italicized words with n+2, 
because you have to add 2 to an even number to get 
the next even number.  And now we have:

'Multiplying n by 4 then subtracting 16
gives you n+2.
We will replace the italicized words by 4n, and 
we have:

4n then subtracting 16 gives you n+2.
We will replace the italicized words by - 16
and we have:

4n - 16 gives you n+2.
Finally we replace the italicized words by
an equal sign, " = ", and we have:

4n - 16 = n+2     <--- tada! an equation.

Solve that and get n = 6

Edwin