Question

The sum of two numbers is 51. The smaller number is 13 less than the larger number. What are the numbers?​

Answer 1

To find the two numbers, we express the larger number as x and the smaller as x - 13 since it's 13 less than the larger one. Solving the equation x + (x - 13) = 51, we find that the larger number is 32 and the smaller one is 19.

Step-by-step explanation:

The question involves finding two numbers based on the information given about their sum and their relationship to each other. We can denote the larger number as x and then express the smaller number as x - 13 since the smaller number is 13 less than the larger one. Given that the sum of these two numbers is 51, we can set up an equation like so:

x + (x - 13) = 51.

Let's solve this step-by-step:

1. Combine like terms: 2x - 13 = 51.
2. Add 13 to both sides: 2x = 64.
3. Divide both sides by 2 to find x: x = 32.
4. Since the smaller number is x - 13, we calculate: 32 - 13 = 19.

Therefore, the two numbers are 32 and 19, where 32 is the larger number and 19 is the smaller one.