Question

The sum of two numbers is 50, and one number is 14 more than the other. Find the numbers.

Solution

1. Let the smaller number be x. Then the larger number is x + 14.
2. Their sum is 50, so x + (x + 14) = 50.
3. This gives 2x + 14 = 50, so 2x = 36 and x = 18.
4. The larger number is 18 + 14 = 32.
5. Therefore, the numbers are 18 and 32.