SOLUTION: The difference between two numbers is 28. he larger number is 8 less than twice the smaller number. Find both numbers

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Question 826767: The difference between two numbers is 28. he larger number is 8 less than twice the smaller number. Find both numbers
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let numbers be x (larger) and y (smaller)
if the difference between two numbers is 28, we have
x-y=28....eq.1
if the larger number is 8 less than twice the smaller number, we have
x=2y-8....eq.2
now solve this system:

x-y=28....eq.1
x=2y-8....eq.2
_______________________
x-y=28....eq.1...substitute x from eq.2
2y-8-y=28....solve for y
2y-y=28%2B8
highlight%28y=36%29
go back to eq.2 and find x
x=2y-8....eq.2..............plug in y
x=2%2A36-8
x=72-8
highlight%28x=64%29
so, your numbers are 64 and 36