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

Answer 1

Hi Jasmyn!

Ok, let's say we have two numbers, x and y. As the question states, they add up to a sum of 16 and have a difference of 14. Another way to say this is:

x+y=16

x-y=14

Using these two eqations as a system of equations, we can solve for x.

x+y=16

+(x-y=14)

Which gives you: x+x+y-y=16+14 OR 2x=30

Using algebra, x=15.

Then, we plug x=15 back into either intial equation.

15+y=16

Therefore y=1.

The two numbers are therefore 1 & 15.

Hope that answers your question!

Answer 2

x + y = 16

+(x - y = 14)

2x = 30

x = 15

y = 1