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?

0 votes

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?

0 votes

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**.

...