Mathematics
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OpenStudy (anonymous):
find the four odd consecutive integers whose sum is 132.and find the product of the smallest and largest integer?
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OpenStudy (anonymous):
Let x be the first one of the 4. That means that the second one is?
OpenStudy (anonymous):
x+1
OpenStudy (anonymous):
right?
OpenStudy (anonymous):
Not quite. x+1 would be the next integer, but not the next odd one. Each odd integer is how far away from the next odd integer?
OpenStudy (anonymous):
could you please explain me this in detail?
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OpenStudy (anonymous):
Lets say that 3 is the first odd integer, What is the next odd integer after 3?
OpenStudy (anonymous):
5
OpenStudy (anonymous):
And 3 is how far from 5
OpenStudy (anonymous):
1
OpenStudy (anonymous):
5-3 = 1?
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OpenStudy (anonymous):
right
OpenStudy (anonymous):
I'm pretty sure 5-3 = 2
OpenStudy (anonymous):
right
OpenStudy (anonymous):
So how far away from 5 is the next odd integer?
OpenStudy (anonymous):
3
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OpenStudy (anonymous):
sorry 2
OpenStudy (anonymous):
Right
OpenStudy (anonymous):
So if x is the first odd integer in our series, then what are the other 4?
OpenStudy (anonymous):
Err other 3 rather
OpenStudy (anonymous):
X+3,X+5,X+7
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OpenStudy (anonymous):
what happen is this right?
OpenStudy (anonymous):
Not quite. The distance between each one is 2.
So the first one is x, the second is x+2, the third is x+4, and the fourth?
OpenStudy (anonymous):
x+6
OpenStudy (anonymous):
is this right?
OpenStudy (anonymous):
please give a reply
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OpenStudy (anonymous):
Yes. Ok, so now we have the sum of these is 132.
OpenStudy (anonymous):
ok cant we do this like firs intger as x and other integrs like x+1,x+2,x+3,x+4
OpenStudy (anonymous):
No, because if x is 3, the x+1 would be 4 which is not the next odd integer.
OpenStudy (anonymous):
We need them all to be odd, so we need to add 2 every time, not 1
OpenStudy (anonymous):
ok thankyou
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OpenStudy (anonymous):
it helped me
OpenStudy (anonymous):
Ok so now you have the equation
x + x+2 + x+4 + x+6 = 132. Solve for x.