
Rich G. answered 04/28/20
Experienced Tutor of Grade School/Middle School Pre-algebra Students
There isn't a combination of consecutive odd integers that will give you this result.
The only way to ensure you have an odd integer is by multiplying it by 2 and adding (or subtracting) 1. So the first unknown would be 2x+1. The next consecutive odd integers are 2x+3 and 2x+5
The equation would then be
(2x+1) + (2x+3) + (2x+5) = 121-(2x+1)
Which becomes
6x+9 = 120 - 2x
8x = 111
x = 13.875
Multiplying x by 2 and adding 1 gives you 28.75, so you'd get 28.75, 30.75, and 32.75. This satisfies the equation but doesn't give you an odd integer. Changing it to 29 (the nearest odd integer) doesn't satisfy the equation. There's no combination of consecutive odd integers that would make it true.
CB B.
Thank you for your response!04/28/20