The sum of two like fractions is 11 20 and their difference is 3 20Find the fractions?

Answer 1

Short answer: 7/20 and 4/20

Long answer:

We know that like fractions have the same denominator so we know that the denominator for both is 20, which is the same as your equations, so we can pretty much ignore them for right now. Now we need to figure out the numerators using a little algebra. Here's what we know:

x + y = 11

x - y = 3

We can simplify the second equation to

x = 3 + y

We can now plug that into the first equation to get

3 + y + y = 11

And now we simplify:

3 + y + y = 11

3 + 2y = 11

2y = 8

y = 4

So now we know one numerator is 4. We can plug that into x = 3 + y to find out what the second numerator is. x = 3 + 4. So the second numerator is 7. We add the denominators to get

4/20 and 7/20