Need math help to find the value of the two numbers if their sum is 45 and their difference is 5.

label Mathematics
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Jan 11th, 2016

Thank you for the opportunity to help you with your question!

Let the two numbers be X and Y

It is given that

1) X+Y = 45


2) X-Y = 5

Solving equation 2 for X, we get

3) X = 5+Y

Substituting this value in equation 1, we get

5+Y + Y = 45

5+2Y = 45

2Y = 45-5 = 40

Y = 40/2 = 20

substituting the value of Y=20 in equation 3, we get

X = 5+Y

X= 5+20 

X= 25

The two numbers are 25 and 20.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jan 11th, 2016

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