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Given, the sum of Ram, Mohan, Raj, Roy’s age is 96.

Given, after 6 years their age will be in ratio 8:7:6:9

Therefore, after 6 years their age will be 8x, 7x, 6x, 9x.

Then, the present age will be,

Ram = 8x-6

Mohan = 7x -6

Raj = 6x-6

Roy = 9x-6

Ram+Mohan+Raj+Roy = 96

= 8x-6 + 7x-6 + 6x-6 + 9x-6 = 96

30x – 24 = 96

X = 4

Raj's present age = 6x-6 = 24 - 6 = 18 years