If two men or six women or four boys can finish a work in 99 days, then how many days will one man, one woman and one boy together take to finish the same work

Let the total work be W
Since two men or six women or four boys can finish a work in 99 days
So the amount of work done by one man in a day = $$\frac{W}{198}$$
Amount of work done by one woman in a day = $$\frac{W}{594}$$
Amount of work done by one boy in a day = $$\frac{W}{396}$$
So total work done by one man, one woman and one boy in a day = $$\frac{W}{198}$$ +$$\frac{W}{594}$$ + $$\frac{W}{396}$$ = $$\frac{11W}{1188}$$
Thus number of days that one man, one woman and one boy together take to finish the same work = $$\frac{W}{ \frac{11W}{1188}}$$
= 108 days