Question

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:

Let 'n' b the original number of men, and let 'x' be the amount received by each men initially. From the data provided, the following system of equations can be modeled:

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

Solving the linear system:

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

The original number of men was 2.