SOLUTION: The difference of two numbers is 1. Twice the smaller is 11 more than the larger. Find the two numbers.

Algebra ->  Equations -> SOLUTION: The difference of two numbers is 1. Twice the smaller is 11 more than the larger. Find the two numbers.      Log On


   



Question 302675: The difference of two numbers is 1. Twice the smaller is 11 more than the larger. Find the two numbers.
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Set-Up:
-----------
Equation 1: A+=+B+%2B+1
Equation 2: A+=+2B+-+11
-----------
Solution:
-----------
Since both equations are equal to A, you can set them equal to each other
B+%2B+1+=+2B+-+11
Subtract B form both sides
1+=+B+-+11 Add 12 to both sides
highlight%2812+=+B%29
Now plug 12 back into one of the eqautions to solve for A
Equation 1: A+=+B+%2B+1
A+=+%2812%29+%2B+1
highlight_green%28A+=+13%29