What is the difference between total number of Associate Professors in universities Land M together and the total number of Professors in the same universities together?

Number of Associate Professors in university L = 34

Number of Associate Professors in university M = 61

=> Total associate professors in universities L and M = 34 + 61 = 95

Total number of assistant or associate professors in university L = $$\frac{60}{100} \times 160 + 34$$

= $$96 + 34 = 130$$

Thus, total professors in university L = $$160 - 130 = 30$$

Similarly, total number of assistant or associate professors in university M = $$\frac{55}{100} \times 180 + 61$$

= $$99 + 61 = 160$$

Thus, total professors in university M = $$180 - 160 = 20$$

=> Total number of Professors in the same universities together = 30 + 20 = 50

$$\therefore$$ Required difference = $$95 - 50 = 45$$