Question

What is two numbers that add to 20 and the difference is 6

Answer 1

13 and 7.

Steps

x + x = 20

x - x = 6

2x = 26

x = 13

x = 20 - 13

x = 7

Answer 2

Answer:

13 and 7

Step-by-step explanation:

We have two unknown numbers that add up to 20 and subtract to 6. The question is asking us to find out these two hidden numbers.

Let's form two equations.

x + y = 20

and

x - y = 6

Since we have a positive y and negative y, we can use the addition method to these systems of equations.

   x + y = 20

   x - y = 6

+-----------------

2x = 26

Now isolate x to get x.

Divide both sides by 2 :

x = 13

Now that we have x, we can plug it into the equations.

13 + y = 20

13 - y = 20

So what number will make this true. Use the backwards method :

20 - 13 = 7

Therefore, 13 and 7 are our two numbers.