Let the inegers be x+1, x+3, and x+5, these are 3 consecutive odds, we could have used x and x+1 and x+3, if x was odd Now the next part is often confusing. So let's say the sum was S, we have S=2(x+1)-5. Now, S= 3x+9 So we have 3x+9=2x+2-5 or x=-9-5+2 so x=-12 x+1=-11 which is odd x+3=-9 x+5=-7 The sum is -27 -27=2(-11)-5 So to see for usre if this works.. our sum is -27 and that is 5 less than twice -11 which is -22. That is to say -27 is 5 less than -22. Would this work with the positive integers 7, 9, and 11? The sum is 27 and the smallest is 7, but 27 does not equal 14-5, so no.
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