SOLUTION: The sum of two positive numbers is 80. One of the numbers is 4 less than 50% of the other. Find the two numbers by solving a system of two equations in two unknowns.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of two positive numbers is 80. One of the numbers is 4 less than 50% of the other. Find the two numbers by solving a system of two equations in two unknowns.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1054789: The sum of two positive numbers is 80. One of the numbers is 4 less than 50% of the other. Find the two numbers by solving a system of two equations in two unknowns.
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
x+y = 80 (1)
x = 0.5y-4 Substitute for x in (1)
0.5y-4+y = 80
1.5y = 84
y = 56
and x = 0.5(56)-4 = 24
------------------------
Check:
56+24 = 80 Correct