The sum of two numbers is 40 and there difference is 10

Answer 1

Let's break the problem into two parts.

1. "The sum of two numbers is 40."
2. "Their difference is 10."

Your looking for two numbers that work for both parts of the sentence.

1) "The sum of two numbers is 40." The word "sum" mean to add. For this part of the problem, you'd need to think of ways to get two numbers that add up to 40. For instance, 20 + 20 = 40. Another solution would be 35 + 5 = 40, and so on.

2) Let's look at the second part of the problem. "Their difference is 10." The word "difference" mean to subtract. For this part of the problem you would need to think of two numbers whose difference is 10. for instance, 20 - 10 = 10, Another possibility is 52 - 42 = 10.

Since we are looking for two number that work with BOTH parts of the question, the correct answer is 25 and 15. Why are these the two correct numbers?

1. "The sum of two numbers is 40." 25 + 15 = 40
2. "Their difference is 10." 25 - 15 = 10

There you go! Best wishes!

Answer 2

We know that x + y = 40 and x - y = 10. Since we have two equations with these values, we need to do substitution. We know that x = 40 - y. We use this x value that we have an plug it into the other equation. Thus x - y = 10 is the same as (40 - y) - y = 10. This is equal to 40 - 2y = 10. We then move around the numbers in the equation to get 2y = 30. You want to isolate the y value, so you divide by 2 and get y = 15. Now you know the value of y and you can plug it in to get the value of x. Thus x - 15 = 10, thus x = 25.