  # A kid wrote a multiplication problem. Alice saw: 100x6 Josh saw: 101×6 Dan saw: 102×9 Each one only misread one digit...

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A messy kid wrote a multiplication problem.

Alice saw: 100x6
Josh saw: 101×6
Dan saw: 102×9

Each one only misread one digit. What is the answer to the real problem? posted Oct 22, 2019

All the three observations have common first 2 digits in the first number.
The third digit of the first number and the second number is the only variance among the observations.
This means

__0 × 6
__1 × 6
__2 × 9 are the ones we're needed to focus on. Since 6 is repeated twice here it has to be correct making 0 in the first and 1 in the 2nd observation wrong. This means 9 in the 3rd observation is wrong and 2 is right.

Therefore the correct answer is 102 × 6 = 612. answer Oct 27, 2019

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