Question

In this multiplication problem every O stands for some odd digit and every E stands for some even digit. What is the product of the multiplication equal to?

Answer 1

9514 1404 393

Answer:

  see below

Step-by-step explanation:

For your convenience, the odd numbers are shaded in the attached.

You can use a bit of number logic to determine that the most-significant digit of the 2-digit multiplier must be 2 or 4. Anything larger will not give a 3-digit product. Then the odd digit in the 3-digit multiplicand must be 1 or 3.

Any carry from the product of the least-significant digits must be even in order for the overall product to have an even 10s digit. That is, the two least-significant digits must be 4 and 6 or 8 and 8.

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I found the answer by trial and error. The above narrows down the number of possibilities.