SOLUTION: the sum of two numbers is 50. one number is 1 less than 2 times the other number. i need help seeting it up

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Question 403622: the sum of two numbers is 50. one number is 1 less than 2 times the other number.
i need help seeting it up

Answer by rfadrogane(214) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of two numbers is 50. one number is 1 less than 2 times the other number.
Sol'n:
let: x - the first number
y - the second number
x + y = 50 ---(1)
x = 2y - 1 ---(2)
(1)-(2)
x + y = 50
-(x - 2y) = -1
----------------
3y = 51
y = 17
for x:
x = 2(17)-1
x = 33
thus:
x = 33
y = 17 ----answers
^_^