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.