Elitmus Exam Numerical Ability Permutation and Combination

There are people at the party including Abhishek and Aishwarya. If Abhishek shook hands with m woman as many times as men and aishwarya shook hands with n men as many times as woman.
Find how many people were there at the party. If n = 4 and m = 3.

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Elitmus Other Question

At what point does the line 3x + 2y = -12 intercept the Y-axis? What are the values of 3 integers a, b and c ? Statement 1: ab=8
statement 2:bc=9