SOLUTION: The difference between 2 positive integers is 36. One integers is three times as great as the other. Find the integers. e-mail: jblount123@windstream.net

Question 229245: The difference between 2 positive integers is 36. One integers is three times as great as the other. Find the integers.
e-mail: jblount123@windstream.net
Found 2 solutions by drj, cornball3440:
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
The difference between 2 positive integers is 36. One integer is three times as great as the other. Find the integers.

Step 1. Let n be one positive integer.

Step 2. Let 3n be the other integer since the other is three times as great as the other.

Step 3. Then, 3n-n=36 since the difference of the integers is 36.

Step 4. Solving yields the following steps

Divide by 2 to both sides of the equation

and . Note their difference is 36.

Step 5. ANSWER: The positive integers are 18 and 54.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV

Answer by cornball3440(16) (Show Source): You can put this solution on YOUR website!
The difference between 2 positive integers is 36. One integers is three times as great as the other. Find the integers.
I took the liberty of representing each integer as a different variable, so:
Y-X=36
Y-3X=0
If you multiply the 2nd equation by -1
Y-X=36
-Y+3X=0
From here you add the 2 equations together
0+2X=36
X=18
Now you plug that back into the original function.
Y-18=36
Y=54
And this is true because
54-3*18=0
54-54=0
So
One Integer is 54, the other is 18.
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