### Number Detective

Follow the clues to find the mystery number.

### Score

There are exactly 3 ways to add 4 odd numbers to get 10. Find all the ways of adding 8 odd numbers to get 20. To be sure of getting all the solutions you will need to be systematic. What about a total of 15 with 6 odd numbers?

Four bags contain a large number of $1$s, $3$s, $5$s and $7$s.
Pick any ten numbers from the bags above so that their total is $37$.