The sum of two consecutive positive odd integers is at most 16. What are the integers ?

Question

Could anyone help me figure out the answer for this I keep getting it wrong.

Answer 1

The equation you could use for this is x+(x+2)=16. You need to do x+2 because they're consecutive ODD integers, so theres an even number between them. Solve for x and you get 7 and then do x+2 and you get 9! Therefore, the answers are 7 and 9.

Answer 2

An odd integer can be written as 2*k+1 where k is an integer.

The next odd integer after 2*k+1 is 2*k+3

Solve for k 2*k+1+2*k+3 = 16

Once you solve for k make sure you plug that value into 2*k+1 and 2*k+3