Calculating Mass & Freefall Accel. on Planet X

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PepeF.
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On planet X, an object weights 18.6N.
Planet B, the magnitude of the free-fall acceleration is 1.42g (g=9.8m/s2) is the gravitational acceleration on earth)
the object weights 29.8N
acceleration of gravity is 9.8 m/s2.

a) what is the mass (kg) of the object on planet X?

b) what is the freefall acceleration on planet X? (m/s2)
 
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If I understand your question correct, you are asking:
If an object weight 18.6N on X and 29.8N on B, and acceleration on B is 1.42g, find (a) and (b)

You might want to try doing the problem yourself using the simple equation F=ma, or Force (Newtons) = Mass (kg) * Acceleration (m/s^2), remembering that mass is constant on any planet but weight is not.