SOLUTION: The sum of two numbers is 100. One number is 5 less than twice the other. Find the numbers.

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Question 39408: The sum of two numbers is 100. One number is 5 less than twice the other. Find the numbers.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two numbers be x and y.
Thus
x + y = 100
and
x = 2y - 5
Now substitute for x in the first equation and get
2y - 5 + y = 100
3y - 5 = 100
3y = 105
y = 35 and since they add to 100,
x = 65