Let's examine each pair of equations to find out where 9 will fit as the missing number:
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6 x ___ = 42; 42 ÷ ___ = 6
- For the first equation: 42 ÷ 6 = 7 (so the missing number is 7, not 9).
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___ x 3 = 27; 27 ÷ ___ = 3
- For the first equation: 27 ÷ 3 = 9 (the missing number is 9).
- For the second equation: 9 x 3 = 27 (which also holds true).
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4 x ___ = 32; 32 ÷ 4 = ___
- For the first equation: 32 ÷ 4 = 8 (the missing number is 8, not 9).
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___ x 8 = 64; 64 ÷ 8 = ___
- For the first equation: 64 ÷ 8 = 8 (the missing number is 8, not 9).
The only pair of equations where the missing number is 9 is:
___ x 3 = 27; 27 ÷ ___ = 3.