Question

The sum of two consecutive odd integers is 244. What is the smaller integer?

Answer 1

sum

Answer 2

n+(n+2) = 244

Answer 3

solve for n

Answer 4

sry i didn't see sum :(

Answer 5

take some odd number n
the next odd number is n+2
(think of 3 and 5)
we need it so that when we add them we get 244
so
n+(n+2) = 244

Answer 6

but n can be even as well (2 and 4). To choose two odd numbers I think we should always use (2n+1)
even+odd = odd

Answer 7

it's 121

Answer 8

good call
scratch the last one

let our first odd number be 2k+1 for some k
let our second number be (2k+1) + 2 = 2k+3 (this is the next odd)
then
(2k+1)+(2k+3) = 244
4k+4 = 244
4k=240
k=60
so our first odd is
2(60) + 1 = 121