Question

Is it always true that for two sources of equal intensity, the number of photons emitted in a given time are equal?

Answer 1

Let the source's area be A, and intensity of the source be I. The energy of each emitted photonis E. Then, the number of photons emitted in a given time will be $n=\frac{I}{AE}$.
If the areas of the sources and the wavelengths of light emitted by the two sources are different, then the number of photons emitted will be different.