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