Again with this!! I need a sum of 2 numbers that equals 20 and they both have a difference of 48, can you please help me? Also, i can't seem to understand this so could you kinda help with that also?

1 Answer

The numbers are 3434 and -1414.

Explanation:

Assume the two numbers are xx and yy.

x + y = 20x+y=20

Rearrange to get:

x = 20 - yx=20y

Then use the second equation:

x - y = 48xy=48

Rearrange to get:

x = 48 + yx=48+y

Then sub them into each other to get the formula:

20 - y = 48 + y20y=48+y

Solve:

2y = -282y=28

y = -14y=14

Go back to your first rearranged equation and plug yy in.

x = 20 - (-14)x=20(14)

x = 34x=34

Therefore, xx and yy are 3434 and -1414, respectively.