SOLUTION: Four less than three times a number is three more than two times the number. What is the number?

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Question 70107: Four less than three times a number is three more than two times the number. What is the number?
Found 3 solutions by funmath, psbhowmick, Edwin McCravy:
Answer by funmath(2933)   (Show Source): You can put this solution on YOUR website!
Four less than three times a number is three more than two times the number. What is the number?
Let a number be:x
four less than three times that number is:3x-4
is:=
three more than two times the number: 2x+3
Problem to solve:
3x-4=2x+3
3x-2x-4=2x-2x+3
x-4=3
x-4+4=3+4

Sanity Check:
3(7)-4=2(7)+3
21-4=14+3
17=17 We seem to be sane for the moment.
Happy Calculating!!!!

Answer by psbhowmick(878)   (Show Source): You can put this solution on YOUR website!
Let the number = x.
Three times the number = 3x.
Four less than three times the number = (3x - 4).

Two times the number = 2x.

(Four less than three times the number) - (Two times the number) = 3
(3x - 4) - 2x = 3
x = 7

So the reqd. number is 7.

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Four less than three times a number is three more than
two times the number.  What is the number?

Four less than three times a number is three more than 
two times the number.  

Use numerals for the spelt-out numbers

   4 less than 3 times a number is 3 more than 
   2 times the number

Replace the words "a number" and "the number" by N

   4 less than 3 times N is 3 more than 2 times N

Replace the words " 3 times N " by 3N and 
replace the words " 2 times N " by 2N

   4 less than 3N is 3 more than 2N

Replace the word " is " by " = "

   4 less than 3N = 3 more than 2N

To make 3N less you subtract from it, so replace 
the words " 4 less than 3N " by " 3N - 4 "

           3N - 4 = 3 more than 2N

Finally, to make 2N more, you add to it, 
so replace the words " 3 more than 2N " by " 2N + 3 "

           3N - 4 = 2N + 3

Can you solve that for N?  If not post again asking 
how to.

Answer: N = 7

Edwin

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