SOLUTION: The sum of two consecutive odd numbers is 36. Find the numbers.

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Question 278383: The sum of two consecutive odd numbers is 36. Find the numbers.
Found 4 solutions by stanbon, JBarnum, Alan3354, richwmiller:
Answer by stanbon(75887)   (Show Source):
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The sum of two consecutive odd numbers is 36. Find the numbers.
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1st: 2x-1
2nd: 2x+1
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Equation:
Add 1st and 2nd to get:
4x = 36
x = 9
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1st = 2x-1 = 17
2nd = 2x+1 = 19
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Cheers,
Stan H.

Answer by JBarnum(2146)   (Show Source):
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CONSECUTIVE NUMBERS ARE like 5,6 so 5+1=6 if 5=x then 5+1=x+1
so "The sum of two consecutive odd numbers is 36"

x=35/2 or 17.5
, or , are the 2 numbers

Answer by Alan3354(69443)   (Show Source):
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36/2 = 18, the center, between the 2 numbers.
--> 17 & 19

Answer by richwmiller(17219)   (Show Source):
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To be sure we have odd numbers we use 2x+1 and 2x+3
2x is even and 2x+1 is odd
2x+1+2x+3=36
4x=32
x=8
2x+1=17
2x+3=19
otherwise we would use x and x+2
x+x+2=36
2x=34
x=17
x+2=19
As you can see the worry about odd versus even was unnecessary