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Power is voltage times current. If power and voltage remains the same, then current cannot decrease - it must also remain the same.

The only viable explanation, assuming the question is valid, is that there is a parallel circuit, and one resistance increases while the other decreases, keeping the net resistance the same, but shifting the power from one branch to the other.

Another answer

Normally, if the voltage remains the same and the current decreases in a particular circuit, then the resistance of that circuit must be increasing and the total energy input must also reduce.

If the total energy input remains constant (and yet the voltage remains the same) then some of the current being supplied by the source - and therefore also some of the energy - must be going to some other place outside the circuit in question, e.g. there could now be a ground fault...

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