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OpenStudy (anonymous):
the sum of the two smallest of five consecutive odd integers is 50 less than the sum of the other three integers. What is the smallest integer?
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OpenStudy (mertsj):
The five integers are:
x
x+2
x+4
x+6
x+8
OpenStudy (mertsj):
The sum of the two smallest is x + x+2 or 2x+2
OpenStudy (mertsj):
That sum, 2x+2 is 50 less than the sum of the other three.
The sum of the other three is 3x+18
So we have
2x+2=3x+18-50
OpenStudy (mertsj):
Can you solve that?
OpenStudy (anonymous):
ya give me a min and I'll tell you the answer
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OpenStudy (anonymous):
x=-34
OpenStudy (mertsj):
I got 34 but that is not an odd integer.
OpenStudy (mertsj):
Are you sure the problem said odd?
OpenStudy (anonymous):
my mistake it says even
OpenStudy (mertsj):
Did you find you mistake in getting -34?
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OpenStudy (anonymous):
3x+18-50=2x+2
OpenStudy (anonymous):
3x+34=2x
OpenStudy (anonymous):
34=-1x
OpenStudy (anonymous):
x=-34
OpenStudy (mertsj):
3x+18-50=2x+2
3x-32 = 2x=2
3x=2x+34
x=34
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OpenStudy (anonymous):
you didn't move the two from the other side cuz 18-50 is -32 then plus 2 is -30
OpenStudy (anonymous):
wait I see what you did
OpenStudy (mertsj):
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