Ratio of scores after revision

Let the revised scores of Anjali, Mohan, and Rama be $11x, 10x,$ and $3x$ respectively. Their original scores were $11x - 6, 10x - 6,$ and $3x - 6$.

Given that Rama's original score was $\frac{1}{12}$ of the sum of Mohan's and Anjali's original scores: $3x - 6 = \frac{1}{12} [(10x - 6) + (11x - 6)]$ $12(3x - 6) = 21x - 12$ $36x - 72 = 21x - 12 \implies 15x = 60 \implies x = 4$

Anjali's original score $= 11(4) - 6 = 38$. Rama's original score $= 3(4) - 6 = 6$. Difference $= 38 - 6 = 32$.