What are the two numbers if their sum is 28 and their difference is 4?

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To find the two numbers based on the given conditions, we can set up two equations.

Let’s denote the two numbers as x and y. According to the problem, we have:

  • Equation 1 (sum): x + y = 28
  • Equation 2 (difference): x – y = 4

Now, we can solve these equations step by step.

  1. From Equation 2 (x – y = 4), we can express x in terms of y:
    • x = y + 4
  2. Next, we substitute x in Equation 1:
    • (y + 4) + y = 28
  3. This simplifies to:
    • 2y + 4 = 28
  4. Now, we solve for y:
    • 2y = 28 – 4
    • 2y = 24
    • y = 12
  5. Now that we have y, we can find x:
    • x = y + 4 = 12 + 4
    • x = 16

Thus, the two numbers are 16 and 12.

To verify:

  • The sum: 16 + 12 = 28
  • The difference: 16 – 12 = 4

Both conditions are satisfied. Therefore, the two numbers are 16 and 12.

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