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The three numbers are 1, 2, and 3, because multiplying 1+2+3 gives you 6, as does adding 1×2×3
The bonus puzzle has two answers. One answer is 1, 4, and 5, because multiplying 1×4×5 gives you 20, which is twice as big as 1+4+5=10. The other answer is 2, 2, and 4, because multiplying 2×2×4 gives you 16, which is twice as big as 2+2+4=8.