Question

Find the largest two consecutive odd integers whose sum is not greater than 46

Answer 1

The largest two consecutive odd integers are

19 and 21

Explanation:

Let

x ----> the first consecutive odd number

x+2 ---> the second consecutive odd number

we know that

The inequality that represent this situation is

`x+(x+2)\leq 46`

solve for x

`2x+2\leq 46`

`2x\leq 46-2`

`2x\leq 44`

`x\leq 22`

therefore

The largest two consecutive odd integers are

19 and 21