SOLUTION: The second of two numbers is two less than three times the first. Find these numbers if their sum is 26. I have tried the equations 3x+-2=26 and x-6x=26, but they do not seem to wo

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The second of two numbers is two less than three times the first. Find these numbers if their sum is 26. I have tried the equations 3x+-2=26 and x-6x=26, but they do not seem to wo      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 992961: The second of two numbers is two less than three times the first. Find these numbers if their sum is 26. I have tried the equations 3x+-2=26 and x-6x=26, but they do not seem to work and I end up with fractions and am not able to find the second number.
Found 2 solutions by lwsshak3, MathTherapy:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The second of two numbers is two less than three times the first. Find these numbers if their sum is 26. I have tried the equations 3x+-2=26 and x-6x=26, but they do not seem to work and I end up with fractions and am not able to find the second number.
let x=1st of two numbers
3x-2= second of two numbers
x+3x-2=26
4x=24
x=6
3x-2=16
1st of two numbers=24
2nd of two numbers=16

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The second of two numbers is two less than three times the first. Find these numbers if their sum is 26. I have tried the equations 3x+-2=26 and x-6x=26, but they do not seem to work and I end up with fractions and am not able to find the second number.
Your equations are incorrect!! Do this as follows:
Let the first be F
Then 2nd number = 3F - 2
As both sum to 26, we get: F + 3F - 2 = 26
4F - 2 = 26
4F = 28
F, or 1st number = 28%2F4
Thus, highlight_green%28system%281%5E%28st%29_number+=+7%2C2%5E%28nd%29_number+=+19%29%29