Problem
First name
Imogen, Molly, Hannah, Charlotte, Elodie, Jess and
School
Sandbach High School
Country
Age
12
Year 8 students worked on the problem.
We quickly got 36 and 38. Only when we looked at the other possible totals from 10 to 70 did we spot the answers were always even numbers! This puzzle is impossible to prove!
As an extension we looked at making 37 with different sets of unrepeated values.
2 ~ 20+17
3 ~ 20+10+7 etc
the challenge was to make the longest list of values.
8 was the longest list 1,2,3,4,5,6,7,9 or 2,3,4,5,6,7,8,9
we thought these were the only ones possible.