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!!!!
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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