The larger of two numbers is eight more than three times the smaller number. The sum of the two numbers is 48. Find the two numbers

Answer: the smaller number is 8. The larger number is 38

Step-by-step explanation:

Let x represent the smaller number.

The The larger of the two numbers is eight more than three times the smaller number. It means that the larger number is 3x + 8

The sum of the two numbers is 48. It means that

x + 3x + 8 = 48

4x + 8 = 48

4x = 48 - 8 = 40

x = 40/4 = 10

Substituting x = 10 into 3x + 8, it becomes

3 * 10 + 8 = 38