SOLUTION: The sum of two numbers is 28 and their difference is 4. What are the numbers?

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Question 1019198: The sum of two numbers is 28 and their difference is 4. What are the numbers?
Found 2 solutions by addingup, MathTherapy:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
x+y = 28
x-y = 4 and x = 4+y
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
4+y+y = 28
2y = 24
y = 12 is one and the other is:
28-12 = 16
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Check:
16-12 = 4 We have the correct answer

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

The sum of two numbers is 28 and their difference is 4. What are the numbers?
Let larger and smaller numbers, be L and S, respectively
Then: matrix%281%2C2%2CL+%2B+S+=+28%2C+%22-------+eq+%28i%29%22%29
Also, matrix%281%2C2%2CL+-+S+=+4%2C+%22--------+eq+%28ii%29%22%29
2L = 32 ------ Adding eqs (ii) & (i)
Larger number = 32%2F2, or highlight_green%2816%29
16 + S = 28 ------- Substituting 16 for L in eq (i)
S, or smaller number = 28 - 16, or highlight_green%2812%29