The sum of two numbers is 22 and their differnce is 6 what's the answer?

Question

I was on Prodigy and I was battling The Titan and this question popped up and I don't know the answer to it! PLEASE ANSWER THIS ASAP!

Answer 1

let the two numbers be x,y

x+y =22

x-y = 6

add two eqations to eliminate y so that we are left with only one variable x

2x= 28

x=14

y = 22 - 14 = 8

so x= 14 , y= 8

Answer 2

Lets Start by Breaking up the problem and underline important information:

The sum of two numbers is 22 and their differnce is 6 what's the answer?

So the first part of the problem says a SUM of TWO NUMBERS is 22.

This means that Mystery Number 1 plus Mystery Number 2 equals 22 when we add them together.

Lets give our Mystery Numbers a name. Lets call them x for short. Now lets put them in an equation

x + x = 22

The second part of the problem says that our Mystery Numbers has a difference of 6

This means our Mystery Numbers are not the same number - Mystery Number 1 is 6 more than Mystery Number 2

Lets rewrite our equation so that it matches our problem.

(x + 6) + x = 22

Now that we have the right equation- lets combine like terms or combine numbers that are the same to make the equation easier to read. We have two x's so lets put them together

2x + 6 = 22

Now Lets solve for x.

2x + 6 = 22

↓ -6 -6

2x = 16

2 2

x = 8

Now we know that one of our Mystery Numbers equals 8

Lets find out what our second Mystery Number by solving x + 6

x + 6 → plug in for x → 8 + 6 = 14

Our Two Numbers are 14 and 8

Answer 3

The answer is 14 and 8!