Question

The difference between two integers is 37 , and their sum is 65 . What are the two integers? Answer

Answer 1

The two integers in question are 51 and 14. We found this by setting up two equations based on the information given and solving them simultaneously.

Step-by-step explanation:

Let's denote the two integers as x and y. According to the problem, we have two equations:

1. x - y = 37 (the difference between the two integers is 37)
2. x + y = 65 (the sum of the two integers is 65)

We can solve these equations simultaneously to find the values of x and y. Adding the two equations, we get:

2x = 102

Now divide both sides by 2 to find x:

x = 51

Substitute x in one of the original equations to find y:

51 + y = 65

y = 65 - 51

y = 14

Therefore, the two integers are 51 and 14.