Solution to the Problem:

The missing number is 12.

The number in each circle is determined by adding up the digits of all numbers pointing to that circle.

For example, 27 = 7 + 2 + 9 + 9
18 = 2 + 7 + 4 + 5
so the missing number ? = 2 + 1 + 3 + 6 = 12


Correctly solved by:

1. Ivy Joseph Pune, Maharashtra, India
2. Colin (Yowie) Bowey Beechworth, Victoria, Australia
3. Veena Mg Bangalore, Karnataka, India
4. Katherine Grossman Redlands Middle School,
Grand Junction, Colorado