writing emoji.
The grid is:
Step 1: Observe rows and columns
Try to find relationships either row-wise, column-wise, or diagonally.
First row: 86, 49, 74
Second row: 105, 75, 60
Third row: 93, 64, ?
Step 2: Check differences and sums
Row 1:
86 to 49: difference = 49 – 86 = -37
Row 2:
105 to 75: difference = 75 – 105 = -30
75 to 60: difference = 60 – 75 = -15
Row 3:
93 to 64: difference = 64 – 93 = -29
64 to ?: difference unknown
No obvious arithmetic progression there.
Sum of row 1: 86 + 49 + 74 = 209
Sum of row 2: 105 + 75 + 60 = 240
Sum of row 3: 93 + 64 + ? = 157 + ?
Check columns:
Column 1: 86 + 105 + 93 = 284
Column 2: 49 + 75 + 64 = 188
Column 3: 74 + 60 + ? = 134 + ?
No obvious equal sums or magic square.
Step 4: Look for other patterns
Try checking if each number is related to the difference between adjacent numbers or some other arithmetic function.
Try checking differences diagonally:
86 (top-left) to 75 (middle-center): 75 – 86 = -11
75 (middle-center) to ?: ?
No clear pattern.
Step 5: Check if numbers relate by their digit sums or other transformations
Digit sums:
86 → 8 + 6 = 14
49 → 4 + 9 = 13
74 → 7 + 4 = 11
105 → 1 + 0 + 5 = 6
75 → 7 + 5 = 12
60 → 6 + 0 = 6
93 → 9 + 3 = 12
64 → 6 + 4 = 10
No clear sequence in digit sums either.
Step 6: Try pairing columns
Try subtracting the second column number from the first:
86 – 49 = 37
105 – 75 = 30
93 – 64 = 29
Try subtracting the third column number from the second:
49 – 74 = -25
75 – 60 = 15
64 – ? = ?
No clear consistent difference.
Step 7: Try combining rows with other functions
Look for a possible relationship in each row:
Row 1: 86, 49, 74
Row 2: 105, 75, 60
Row 3: 93, 64, ?
Try:
(First number + Third number) / 2 ≈ Second number?
Check row 1:
(86 + 74) / 2 = 160 / 2 = 80 (Second number is 49, no match)
Row 2:
(105 + 60) / 2 = 165 / 2 = 82.5 (Second number 75, close but no)
Row 3:
(93 + ?) / 2 = 64
So, 93 + ? = 128
? = 128 – 93 = 35
So ? could be 35 by this logic.
Step 8: Verify if 35 fits with other patterns
Try checking column sums again with 35 in place:
Column 3: 74 + 60 + 35 = 169
Any significance?
Try difference in last column:
74 – 60 = 14
60 – 35 = 25
No clear pattern.
Step 9: Check for squares or other mathematical relations
Look for perfect squares in the numbers:
49 = 7²
64 = 8²
Try to see if there’s any relation between numbers and perfect squares:
Could the second column be squares or close to squares?
49 (7²)
75 (close to 64 or 81)
64 (8²)
No clear consistent pattern.
Summary:
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