what two numbers have a difference of 14 and sum of 16

Answer 1

Hello Gaby,

So your problem is a systems of equations problem and this is how I personally would solve this:

First:

x - y = 14

x + y = 16

You will immediately notice by the way I lined these equations up Gaby, that the y's cancel themselves out. After cancelling the y's out we are left with the following:

2x = 30

x = 15

Now substitute the value of 15 for "x" in either equation. Doing so gives us the following:

FIRST EQUATION:

x - y = 14

15 - y = 14

1 = y or y = 1

SECOND EQUATION:

x + y = 16

15 + y = 16

y = 1

The two numbers we have for our solution is x = 15 and y = 1.

Now we want to check our work.

You will notice when looking at the parameters of the problem the the sum of the two numbers is 16 and the difference is 14 in either equation so the solution checks out. I hope this helped you and wish you a great week, Best.

Answer 2

x-y=14 x=y+14

x+y=16

y+14+y=16

2y=2

y=1

x=15