# word problem secret

• May 21st 2012, 12:47 PM
klg
word problem secret
Five times a number is the same as the number added to five. What is the number?

OK, so 5X=X+5
X=(X+5)/5

I know the answer is 5/4, but that took a lot of time- consuming trial and error on my part; is there a way to see through this more quickly?
• May 21st 2012, 12:55 PM
Plato
Re: word problem secret
Quote:

Originally Posted by klg
Five times a number is the same as the number added to five. What is the number?
OK, so 5X=X+5
X=(X+5)/5
I know the answer is 5/4, but that took a lot of time- consuming trial and error on my part; is there a way to see through this more quickly?

If $5X=X+5$ then $4X=5$ so $X=\frac{5}{4}$.
• May 21st 2012, 01:19 PM
klg
Re: word problem secret
Oh for crying out loud...I must be tired; they don't get any easier than that.
Thanks!