SOLUTION: The sum of two numbers is 50. If the larger number is 2 more than 5 times the smaller, then what aee the numbers ?

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Question 991590: The sum of two numbers is 50. If the larger number is 2 more than 5 times the smaller, then what aee the numbers ?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let's numbers be x and y, and x is larger number
if the sum of two numbers is 50, than we have
x%2By=50......solve for x
y=50-y...........eq.1
if the larger number is 2 more than 5 times the smaller, we have
x=5y%2B2.....eq.2....now substitute 50-y for x and solve for y
50-y=5y%2B2
50-2=5y%2By
48=6y
48%2F6=y
highlight%28y=8%29
and the larger number is:
x=5y%2B2=>x=5%2A8%2B2=>highlight%28x=42%29