SOLUTION: One positive number is three times another positive number. The sum of the two positives numbers is 36. Find the two numbers.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: One positive number is three times another positive number. The sum of the two positives numbers is 36. Find the two numbers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 919551: One positive number is three times another positive number. The sum of the two positives numbers is 36. Find the two numbers.
Found 3 solutions by rfer, stanbon, MathLover1:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x+3x=36
4x=36
x=36/4
x=9
3x=27

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One positive number is three times another positive number. The sum of the two positives numbers is 36. Find the two numbers.
----------------------------
Equation:
x = 3y
x + y = 36
----
Substitute for "x" and solve for "y"::
3y + y = 36
4y = 36
y = 9
-----
x = 3y = 27
===================
Cheers,
Stan
--------------------

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let positive numbers be x and y
if x is three times y we have:
x=3y .............eq.1
if the sum of the x and y is 36, we have:
x%2By=36 ........eq.2
solve the system:
x=3y .............eq.1...substitute in eq.2
x%2By=36 ........eq.2
______________________________________
3y%2By=36 ........eq.2...solve for y
4y=36
y=36%2F4
highlight%28y=9%29
go back to eq.1 and find x
x=3y .............eq.1
x=3%2A9
highlight%28x=27%29
so, your positive numbers are:highlight%2827%29 and highlight%289%29