Open Middle®
Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to make two true statements without rounding. You may reuse all the digits for your second statement.
Hint
What percentages would be more likely to give you whole number results?
Answer
There are multiple correct answers including 17 is 25% of 68 and 14 is 50% of 28.
Source: Robert Kaplinsky
16 is 50% of 32
Not allowing leading zeros, there are 58 solutions (10 of which don’t contain the digit 0):
13 is 65 % of 20
17 is 85 % of 20
18 is 75 % of 24
17 is 68 % of 25
19 is 76 % of 25
13 is 50 % of 26
14 is 50 % of 28
16 is 50 % of 32
17 is 50 % of 34
21 is 60 % of 35
18 is 50 % of 36
19 is 50 % of 38
38 is 95 % of 40
27 is 60 % of 45
36 is 80 % of 45
23 is 50 % of 46
36 is 75 % of 48
13 is 26 % of 50
14 is 28 % of 50
16 is 32 % of 50
17 is 34 % of 50
18 is 36 % of 50
19 is 38 % of 50
23 is 46 % of 50
31 is 62 % of 50
32 is 64 % of 50
34 is 68 % of 50
36 is 72 % of 50
38 is 76 % of 50
39 is 78 % of 50
41 is 82 % of 50
43 is 86 % of 50
46 is 92 % of 50
48 is 96 % of 50
21 is 35 % of 60
27 is 45 % of 60
31 is 50 % of 62
32 is 50 % of 64
13 is 20 % of 65
17 is 25 % of 68
34 is 50 % of 68
36 is 50 % of 72
18 is 24 % of 75
36 is 48 % of 75
63 is 84 % of 75
19 is 25 % of 76
38 is 50 % of 76
39 is 50 % of 78
36 is 45 % of 80
76 is 95 % of 80
41 is 50 % of 82
63 is 75 % of 84
17 is 20 % of 85
43 is 50 % of 86
46 is 50 % of 92
38 is 40 % of 95
76 is 80 % of 95
48 is 50 % of 96
If we allow leading zeros, there are another 6 solutions:
09 is 75 % of 12
04 is 25 % of 16
04 is 16 % of 25
09 is 36 % of 25
09 is 25 % of 36
09 is 12 % of 75
50 percent of 5 is 2.5