Question

Problem 15. 10 dinar is divided equally among a group of men so that when 6 more men are added to their number and 40 dinar is divided equally among them, then each receives as much as he did previously. Find the original number of men.

Answer 1

2 men

Explanation:

Initially, there were 'n' men and when 10 dinar were divided between them, each man got 'x' dinar. Then, there were 'n+6' men and when 40 dinar were divided between them, each man still got 'x' dinar. Modeling this system of equations gives us:

`(10)/(n)=x\\(40)/(n+6)=x`

Solving for 'n':

`(10)/(n)=(40)/(n+6)\\ 30n=60\\n=2\ men`

The original number of men is 2.