Question

The sum of two numbers is 54. The smaller number is 14 less than the larger number. What are the numbers?

Larger number:
Smaller number:

Answer 1

Large Number = 34 & Smaller Number = 20

Explanation:

1. Define Variables

Large Number = n

Smaller Number = s

2. Equations

n + s = 54

n - s = 14

3. Combine the Equations

n + s + n - s = 54 + 14

2n = 68

n = 34

4. Find s

34 + s = 54

s = 20