SOLUTION: the smaller of two numbers is 3 less than the greater. if the greater is decreased by twice the smaller, the result is -5. find the two numbers.

Algebra ->  Expressions-with-variables -> SOLUTION: the smaller of two numbers is 3 less than the greater. if the greater is decreased by twice the smaller, the result is -5. find the two numbers.      Log On


   



Question 609316: the smaller of two numbers is 3 less than the greater. if the greater is decreased by twice the smaller, the result is -5. find the two numbers.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the smaller of two numbers is 3 less than the greater. if the greater is decreased by twice the smaller, the result is -5. find the two numbers.
-------------------
Equations:
s = g - 3
g - 2s = -5
------
Substitute for "s" and solve for "g":
g - 2(g-3) = -5
g -2g+6 = -5
-g = -11
greater number = 11
---------
Solve for "s":
s = g -3
smaller number = 11-3 = 8
===============================
Cheers,
Stan H.
======================