Question

Two numbers have a sum of 33. The same two numbers have a difference of 13. What are the two numbers?

Solve using a system of equations.

Answer 1

x = 23

y = 10

Explanation:

Let the two numbers be x and y where x>y

x + y = 33

x - y = 13 Add

2x = 46 Divide by 2

2x/2=46/2 Do the division

x = 23

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Solve for y

x + y = 33 Substitute for x

23 + y = 33 Subtract 23 from both sides.

23-23+y = 33 - 23

y = 10