Question

Two numbers have a sum of 23 and a difference of 9. Find the two numbers

Answer 1

The numbers are 16 and 7

Explanation:

Let the numbers be x and y

x+y = 23

x-y = 9

Add the two equations together

x+y = 23

x-y = 9

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2x = 32

Divide each side by 2

2x/2 = 32/2

x = 16

Now subtract the two equations

x+y = 23

-x +y = -9

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2y = 14

Divide by 2

2y/2 = 14/2

y = 7