Question

The difference of two numbers is 5. The sum of three times the larger number and twice the smaller number is 30. What is the smaller number?

Answer 1

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