Five times the smaller of two consecutive numbers is added to 3 times the bigger, the result is 579. find the smaller integer.

To solve this problem you must apply the proccedure shown below:

 1. You have the following informatioon given in the problem above:

 - Five times the smaller of two consecutive numbers is added to 3 times the bigger.
 - The result is 579. 

 2. Keeping this on mind, you have the following equation:

 x: the smaller number.

 5x+3(x+1)=579

 3. You must solve for x to calcualte the value of the smaller integer:

 5x+3x+3=579
 8x+3=579
 8x=579-3
 x=576/8
 x=72

 The answer is: 72
 

The method to find the female dormitory is 2-d=800