SOLUTION: The sum of two numbers is 76 and their difference is 52. Find the two numbers. Help Please.

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Question 915166: The sum of two numbers is 76 and their difference is 52. Find the two numbers.
Help Please.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 76 --> x+y = 76
and their difference is 52 ---> x-y = 52

x+y = 76
x-y = 52

Add the equations

x+y = 76
x-y = 52
---------
2x+0y = 128

2x = 128

x = 128/2

x = 64

Use this to find y

x+y = 76

64+y = 76

y = 76-64

y = 12

So x = 64 and y = 12. Notice how 64+12 = 76 and how 64 - 12 = 52.

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The two numbers are 64 and 12.


Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
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Thanks,

Jim