SOLUTION: I think of 2 numbers. If I add 3 times the smaller number to the bigger number I get 14. If I subtract the bigger number from twice the smaller number I get 1. Find the two n

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: I think of 2 numbers. If I add 3 times the smaller number to the bigger number I get 14. If I subtract the bigger number from twice the smaller number I get 1. Find the two n      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1073380: I think of 2 numbers. If I add 3 times the smaller number
to the bigger number I get 14. If I subtract the bigger
number from twice the smaller number I get 1.
Find the two numbers.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
I think of 2 numbers. If I add 3 times the smaller number
to the bigger number I get 14. If I subtract the bigger
number from twice the smaller number I get 1.
Find the two numbers.
Let S = the smaller number
Let B = the bigger number

So the problem is now:
I think of 2 numbers, S and B. If I add 3 times S to B,
I get 14. If I subtract B from twice S, I get 1.
Find the two numbers.
If I add 3 times S to B, I get 14.

[Think of how you would write them down to add them if you knew 
what they were): 

       B
     +3S
      14

So from that we have this equation:

     B+3S = 14


If I subtract B from twice S, I get 1.

[Think of how you would write them down to subtract them if you 
knew what they were):

      2S
      -B
       1

So from that we have this equation:

     2S-B = 1

Solve the system by either substitution or elimination:

system%28B%2B3S=14%2C+2S-B=1%29

Edwin