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The sum of two numbers is 36 and the difference is 8.Find the numbers

1 Answer

7 votes

Answer:

The numbers are 22 and 14.

Explanation:

The sum of two numbers is 36 and the difference is 8.

Let one number be x and the other number be y.

x+y = 36

x-y = 8

Add the two equations together to eliminate y.

x+y = 36

x-y = 8

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

2x = 44

Divide by 2.

2x/2 = 44/2

x = 22

Now we can find the other number.

x+y = 36

Substituting x=22,

22+y = 36

y = 36-22

y = 14

The numbers are 22 and 14.

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User Spivonious
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