What two numbers have a sum of 11 and difference of 3?

To find the two numbers that have a sum of 11 and a difference of 3, we can set up a system of equations.

Let’s denote the two numbers as x and y.

• The first equation based on the sum of the numbers is: x + y = 11
• The second equation based on the difference of the numbers is: x – y = 3

Now, we can solve these equations step by step.

From the second equation, we can express x in terms of y:

x = y + 3

Next, we can substitute this expression for x into the first equation:

(y + 3) + y = 11

This simplifies to:

2y + 3 = 11

Now, isolate y:

2y = 11 - 3
2y = 8
y = 4

Now that we have y, we can find x using the expression x = y + 3:

x = 4 + 3
x = 7

Therefore, the two numbers we are looking for are 7 and 4.

To confirm our solution, we can check:

• The sum: 7 + 4 = 11
• The difference: 7 – 4 = 3

Both conditions are satisfied, so the two numbers that have a sum of 11 and a difference of 3 are 7 and 4.