How do you find two consecutive odd integers whose sum is 36?

2 Answers
Apr 6, 2018

1717 and 1919.

Explanation:

Let nn denote the first odd integer.
If the two integers are consecutive and odd, then the second number is n+2n+2.

Hence, n+n+2=36n+n+2=36

\implies 2n=342n=34

\implies n=17n=17.

Therefore, the numbers are 1717 and 1919.

Apr 6, 2018

:. 17+19 = 36

Explanation:

If the odd numbers are consecutive, they must be on either side of half of 36.

18+18 = 36

:. 17+19 = 36