Question 26664: There is a certain number such that 1/3 of the number, plus 1/4 of the number, plus 1/5 of the number is less than the number itself. What is the number?
I made x my variable. Would I have to find the common den. of the fractions to add them? Also, I don't know how to solve the problem when the variable is a subtraction on the one side of the equal sign and the variable is in a multiplication situation on the other side. I was taught to use the opposite operation but it doesn't work in this case.
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! There is a certain number such that 1/3 of the number, plus 1/4 of the number, plus 1/5 of the number is less than the number itself. What is the number?
I made x my variable.OK..GOOD...SO WE HAVE X/3+X/4+X/5
LCM IS 60 SO WE GET
(20X+15X+12X)/60
47X/60
THIS IS ALWAYS TRUE AS LONG AS X IS POSITIVE..SO YOU CAN GIVE ANSWER AS ANY POSITIVE NUMBER..SAY..X CAN BE 1 OR 2 OR 3 OR 5 OR NAME ANY NUMBER..
Would I have to find the common den. of the fractions to add them? Also, I don't know how to solve the problem when the variable is a subtraction on the one side of the equal sign and the variable is in a multiplication situation on the other side. I was taught to use the opposite operation but it doesn't work in this case.
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