SOLUTION: the greater of two numbers is one less than four times the lesser number. three times the number is four less that the greater number. find the larger number

Question 946357: the greater of two numbers is one less than four times the lesser number. three times the number is four less that the greater number. find the larger number

Found 2 solutions by DrBeeee, MathTherapy:
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Let n = larger number and
let m = smaller number
If I read the question correctly we have two equations;
(1) n = 4m - 1 and
(2) m = n - 3
Agree?
Assuming you do, put m of (2) into (1) and get
(3) n = 4*(n-3) - 1 or
(4) n = 4n - 12 - 1 or
(5) 3n = 13 or
(6) n = 13/3
Now put n of (6) into (2) and get
(7) m = 13/3 - 3 or
(8) m = 4/3
Check the answer with (1).
Is (13/3 = 4*4/3 - 1)?
Is (13/3 = 16/3 - 3/3)?
Is (13/3 = 13/3)? Yes
Answer: The larger number is 13/3

Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!
the greater of two numbers is one less than four times the lesser number. three times the number is four less that the greater number. find the larger number

Can you at least make sure that you type the problem correctly before asking for help?
I assume: "three times the number is four less that the greater number" should actually be:
"three times the number is four less that the greater number."
If so, and with L being the larger number, and S the smaller number, the equations are:
I'll let you solve for what's needed.
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