Let score of Rama = r, mohan = m and Anjali = a

As score was one-twelfth of the sum of the scores of Mohan and Anjali.

So 12r = m + a……(1)

Similarly after score of each of them increased by 6, score of scores of Anjali, Mohan, and Rama

Becomes in the ratio 11 : 10 :3

Let 11k = r+6, m+6 = 10k and a+6 = 3k, putting values of the 3 in equation 1, we get

a – r = 40 – 8 = 32