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
