(a) Rs 62, Rs 34
Let Ram have Rs x and Mohan have Rs y.
If Ram gives Rs 30 to Mohan, then
Ram has = Rs (x – 30)
Mohan has = Rs (y + 30)
According to the question, y + 30 = 2(x – 30)
\(\Rightarrow\) y + 30 = 2x – 60 \(\Rightarrow\) 2x – y = 90 …....(i)
If Mohan gives Rs 10 to Ram, then
Ram has Rs (x + 10)
Mohan has Rs (y – 10)
According to the question, (x + 10) = 3(y – 10)
\(\Rightarrow\)x + 10 = 3y – 30 \(\Rightarrow\) x – 3y = – 40 ........(ii)
Now we can easily solve for x and y.