Question

the sum of two numbers is 36 a
nd their difference is 9 find the two numbers

Answer 1

Answer:

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Answer 2

Answer:

This is a good exercise in building and solving a set of equations. Let X and Y be the two numbers. Then you are told their sum is 36, so write;

X + Y = 36

Then you are told their difference is 9, so write;

X - Y = 9

Now elliminate Y by adding the two equations;

X + Y = 36

X - Y = 9

---------------------

2X = 45

X = 45 / 2

X = 22.5 .

Now you can find Y by substituting this answer into either of the two original equations

22.5 + Y = 36

Y = 36 - 22.5

Y = 13.5

And

22.5 - Y = 9

- Y = 9 - 22.5

- Y = - 13.5

Y = 13.5

Then you replace the Y with 13.5

22.5 - 13.5 = 9

22.5 + 13.5 = 36

Hope this will help you

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