In order to solve a case, Holmes was forced to work in disguise of a travelling man and found himself living with a group of nomads. One day, while he spent time with them, he was able to note the following few things:

1. 10% of the group comprised of young girls

2. 22% were young boys

3. 14% were old men

4. 10% of the total group members were old women

5. Out of the remaining 22 nomads, 50% were men.

Can you tell the total number of members in the group and the number of males?

Answer: There were a total of fifty nomads in the group out of which 29 were male.

Assume that the total number of nomads in the group is x

According to the question, 10% of x=young girls

10% of x= old women

22% of x= young boys

14% of x= old men

Therefore, 0.1x+0.1x+0.22x+0.14x=x-22

0.56x=x-22

x-0.56x=22

0.44x=22

x = 50

impossible