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AR15.COM
11/23/2015 7:28:54 PM EDT
I'm not a math guy.  My son has a homework problem and while we have found the answer I still want to be able to work through the problem.  It reads:

"When 2/3 of a number is increased by 20 and the sum is then halved the result obtained is the same as 2/3 of the number increased by 3.  Find the number."

The answer is 21 but if someone could show us how to solve for X I would appreciate it.

My son came up with a formula of:  (( X*2/3) + 20) *1/2 = X*2/3+3
11/23/2015 7:30:16 PM EDT
[#1]
Holy shit I am glad I am done with math. God help my kids if/when the day comes.
11/23/2015 7:32:04 PM EDT
[#2]
87..........
11/23/2015 7:32:35 PM EDT
[#3]
Quote History
Quoted:
87..........
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My first thought, naturally
11/23/2015 7:33:10 PM EDT
[#4]
21.
11/23/2015 7:34:28 PM EDT
[#5]
Quote History
Quoted:
21.
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Yes, I included that in my original post
11/23/2015 7:35:05 PM EDT
[#6]
steps:

Don't let him see this or he will never learn math on his own.
11/23/2015 7:36:49 PM EDT
[#7]
(2X/3 + 20)/2 = 2X/3 + 3


2X/3 + 20 = 4X/3 + 6

20 - 6 = 4X/3 - 2X/3

14 = (4X - 2X)/3 = 2X/3


14 = 2X/3


7 = X/3


X = 21

 
11/23/2015 7:38:14 PM EDT
[#8]

Quote History
Thanks for the link



 
11/23/2015 7:38:18 PM EDT
[#9]
Quoted:
I'm not a math guy.  My son has a homework problem and while we have found the answer I still want to be able to work through the problem.  It reads:

"When 2/3 of a number is increased by 20 and the sum is then halved the result obtained is the same as 2/3 of the number increased by 3.  Find the number."

The answer is 21 but if someone could show us how to solve for X I would appreciate it.

My son came up with a formula of:  (( X*2/3) + 20) *1/2 = X*2/3+3
View Quote


He's right.
11/23/2015 7:39:32 PM EDT
[#10]

Quote History
Quoted:


(2X/3 + 20)/2 = 2X/3 + 3

2X/3 + 20 = 4X/3 + 6

14 = 2X/3

7 = X/3

X = 21
View Quote
Yes sir.
11/23/2015 7:40:47 PM EDT
[#11]
Your formula is good.

So
I like ((2x/3) + 20)/2 = (2x/3) + 3

You'll see why in a sec

You then get (x/3) + 10 = (2x/3) + 3

If you write it 2x/3 you can the. Multiply both sides by 3 then you have x + 30 = 2x + 9
Simplify

X= 21.
11/23/2015 7:42:45 PM EDT
[#12]
Quote History


Mind officially blown.
11/23/2015 7:47:08 PM EDT
[#13]
See this is why I went to law school.  I could  never figure out why anyone would need to know 21, if divided by two thirds and then increased by 20 and then cut in half is the same as two thirds of 21 increased by three.  I mean, how will knowing this fact every change anything?





Besides, we aren't allowed to charge fees anywhere approaching two-thirds of any recoveyr.  40% is pushing it.  Heck, you'll be lucky to get 25% for a lot of work.  



So x*.40 + costs = payday.  That math works.



Anything more complicated and I get an engineer.






11/23/2015 7:51:37 PM EDT
[#14]
Wolfram alpha is also a good site for math: here's  your problem
11/23/2015 7:57:33 PM EDT
[#15]
OP, after reading the lawyer's post, I was going to respond that the point is not to know what the number is, but to solve for the value of X. After re-reading the original problem, I believe that your answer is actually 14, not 21.

11/23/2015 8:26:30 PM EDT
[#16]
Quote History
Quoted:
OP, after reading the lawyer's post, I was going to respond that the point is not to know what the number is, but to solve for the value of X. After re-reading the original problem, I believe that your answer is actually 14, not 21.

View Quote


I don't think 14 would work.  2/3 of 14 would result in a fractional number.  21 does work for both sides of the equation
11/23/2015 8:30:09 PM EDT
[#17]
x = 21, and 2/3 of that number is 14. I was overthinking to the level of GD commoncore.