Question

The sum of three consecutive odd integers is less than 100. What are the greatest possible values of these integers?

Answer 1

Odd number = 2n+1

Answer 2

So our 3 consecutive odd numbers would be
2n+1
2n+3
2n+5
Our inequality would be:
2n+1+2n+3+2n+5<100

Answer 3

Now we have to gather like terms

Answer 4

Can u do that?

Answer 5

6n + 9 < 100

Answer 6

Right. Then we have to subtract 9 from both sides

Answer 7

So what did u get?

Answer 8

6n < 91

Answer 9

Correct. Then we gotta divide 6 from both sides

Answer 10

15.16?

Answer 11

Yes smth like that
n<15.6
So what is the greatest integer value that n can have?

Answer 12

31+33+35=99

Answer 13

N has to be less than 15.6 and an integer

Answer 14

Let James solve it on his own

Answer 15

So what do u think n will equal?

Answer 16

Ok i am not sure if u have to show ur work but if you do n=15
Now plug n=15 back into the 3 consecutive numbers above and u will get 31,33 and 35