anonymous
  • anonymous
find the four odd consecutive integers whose sum is 132.and find the product of the smallest and largest integer?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Let x be the first one of the 4. That means that the second one is?
anonymous
  • anonymous
x+1
anonymous
  • anonymous
right?

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anonymous
  • 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?
anonymous
  • anonymous
could you please explain me this in detail?
anonymous
  • anonymous
Lets say that 3 is the first odd integer, What is the next odd integer after 3?
anonymous
  • anonymous
5
anonymous
  • anonymous
And 3 is how far from 5
anonymous
  • anonymous
1
anonymous
  • anonymous
5-3 = 1?
anonymous
  • anonymous
right
anonymous
  • anonymous
I'm pretty sure 5-3 = 2
anonymous
  • anonymous
right
anonymous
  • anonymous
So how far away from 5 is the next odd integer?
anonymous
  • anonymous
3
anonymous
  • anonymous
sorry 2
anonymous
  • anonymous
Right
anonymous
  • anonymous
So if x is the first odd integer in our series, then what are the other 4?
anonymous
  • anonymous
Err other 3 rather
anonymous
  • anonymous
X+3,X+5,X+7
anonymous
  • anonymous
what happen is this right?
anonymous
  • 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?
anonymous
  • anonymous
x+6
anonymous
  • anonymous
is this right?
anonymous
  • anonymous
please give a reply
anonymous
  • anonymous
Yes. Ok, so now we have the sum of these is 132.
anonymous
  • anonymous
ok cant we do this like firs intger as x and other integrs like x+1,x+2,x+3,x+4
anonymous
  • anonymous
No, because if x is 3, the x+1 would be 4 which is not the next odd integer.
anonymous
  • anonymous
We need them all to be odd, so we need to add 2 every time, not 1
anonymous
  • anonymous
ok thankyou
anonymous
  • anonymous
it helped me
anonymous
  • anonymous
Ok so now you have the equation x + x+2 + x+4 + x+6 = 132. Solve for x.

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