Professor Layton puzzle and Wolfram Alpha

Professor Layton and the Unwound Future is a puzzle game for the Nintendo DS.

Puzzle number 40 is this :

The description is a bit unclear. What they seem to want is :

a * b = c + d

and

a + b = c * d

Plugging this in Wolfram Alpha as :

((a + b ) = (c * d)) and ((a * b) = (c + d)) and (a > 0) and (a < 10)

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