Answer: 3
Explanation:
Let the smaller number be y.
Since the difference of two numbers is 5,then the larger number will be: y+5
The sum of three times the larger number and twice the smaller number is 30. This can be written as:
3(y+5) + 2y = 30
3y + 15 + 2y = 30
5y + 15 = 30
5y = 30 - 15
5y = 15
y = 15/5
y = 3
The smaller number is 3