What two numbers have a sum of 123 and a difference of 7?

Question

What two numbers have a sum of 123 and a difference of 7?

Answer 1

58 and 65

Answer 2

To solve you can make it an equation to see it visually:

* You know that you're looking for two numbers and one is 7 more than the other (because difference means you add/subtract). So you can assign the first unknown number just "X" and the second unknown number "X+7." They add up to 123. That's how you set up the equation.

X + (X+7)=123

* So that simplifies to 2X + 7=123

You can combine the X's because you know they are the same value.

* You want to isolate X to solve it, so you subtract 7 from both sides:

2X=116

You still haven't isolated X, so now you divide both sides by 2:

X=58

* So now you have X! Since X=58 and you know that is the first number you just solve for the second number (X+7) by adding 7. So the second number is 65.

* So your numbers are 58 and 65. You can check it just by adding the numbers together and making sure they equal 123.

I hope that makes sense! :)

Answer 3

x + y = 123

x - y = 7

donc 2x = 130

x = 65

y = 58

your two numbers are 65 and 58.