Open Middle®
Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to make an equation where both sides have the greatest possible value.
Hint
What number would be easier/harder to distribute?
Answer
The greatest possible value on both sides is 126 and comes from 9(8 + 6) = 72 + 54.
Source: Adrianne Burns and Robert Kaplinsky
8 (1+3)=12+45
this is wrong lol
Solutions my students found:
5(3+2)=19+06
5(3+2)=18+07
9(6+8)=74+52
The highest result is 126 = 9(6 + 8) = 52 + 74
The lowest result is 20 = 2(3 + 7) = 04 + 16 or 20 = 2(4 + 6) = 03 + 17. Without leading zeros, it’s
36 = 3(4 + 8) = 10 + 26 or 36 = 3(5 + 7) = 10 + 26