SOLUTION: the sum of two numbers is 36 .one number is two more than the other find the numbers

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Question 394552: the sum of two numbers is 36 .one number is two more than the other find the numbers
Answer by pie90010(44)   (Show Source): You can put this solution on YOUR website!
let number 1 be x
let number 2 be y (the larger number)
make your system of equations
"the sum of two numbers is 36" tells us that
x + y = 36
"one number is two more than the other" tells us that
2x = y
line this up now with the other equation
2x - y = 0
x + y = 36
Now the y's cancel, so just add them up
3x = 36
x = 12
now that you have x, to find y just plug it into the original equation
x + y = 36
12 + y = 36
y = 24
your final answer is
the 2 numbers are 24 and 12

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