SOLUTION: The sum of two numbers is 50. If twice the larger is subtracted by 4 times the smaller, the result is 8. Find the numbers.

Algebra ->  Expressions-with-variables -> SOLUTION: The sum of two numbers is 50. If twice the larger is subtracted by 4 times the smaller, the result is 8. Find the numbers.      Log On


   



Question 193670: The sum of two numbers is 50. If twice the larger is subtracted by 4 times the smaller, the result is 8. Find the numbers.
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Let the smaller one be x, then the larger one is 50 - x.
Now use the given information" twice the larger is subtracted by 4 times the smaller, the result is 8 " to set up an equation:
2(50-x)-4x=8
Solving for x, we have
100 - 2x - 4x = 8
100-6x=8
100-8=6x
92=6x
6x=92
x=92/6=46/3
So the smaller number is 46/3
The larger one is 50-46/3=104/3