If the sum of two numbers is 20 and the difference is 8 then what are

1.	If the sum of two numbers is 20 and the difference is 8 then what are the two numbers
Answer» ong>ANSWER: Sum: 14 + 6 = 20 Difference: 14 - 6 = 8 Step-by-step explanation: Hello user Let's start by calling the TWO numbers we are looking for x and y. The sum of x and y is 20. In other words, x plus y equals 20 and can be written as EQUATION A: x + y = 20 The difference between x and y is 8. In other words, x MINUS y equals 8 and can be written as equation B: x - y = 8 Now solve equation B for x to get the revised equation B: x - y = 8 x = 8 + y Then substitute x in equation A from the revised equation B and then solve for y: x + y = 20 8 + y + y = 20 8 + 2y = 20 2y = 12 y = 6 Now we know y is 6. Which means that we can substitute y for 6 in equation A and solve for x: x + y = 20 x + 6 = 20 X = 14 Summary: The sum of two numbers is 20 and their difference is 8. What are the two numbers? Answer: 14 and 6 as proven here: Sum: 14 + 6 = 20 Difference: 14 - 6 = 8 ${}^{i \: hope \: its \: help \: you.}$

If the sum of two numbers is 20 and the difference is 8 then what are the two numbers

Answer»

Sum: 14 + 6 = 20

Difference: 14 - 6 = 8

Step-by-step explanation:

Hello user

Let's start by calling the TWO numbers we are looking for x and y.

The sum of x and y is 20. In other words, x plus y equals 20 and can be written as EQUATION A:

x + y = 20

The difference between x and y is 8. In other words, x MINUS y equals 8 and can be written as equation B:

x - y = 8

Now solve equation B for x to get the revised equation B:

x - y = 8

x = 8 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 20

8 + y + y = 20

8 + 2y = 20

2y = 12

y = 6

Now we know y is 6. Which means that we can substitute y for 6 in equation A and solve for x:

x + y = 20

x + 6 = 20

X = 14

Summary: The sum of two numbers is 20 and their difference is 8. What are the two numbers? Answer: 14 and 6 as proven here:

Sum: 14 + 6 = 20

Difference: 14 - 6 = 8

${}^{i \: hope \: its \: help \: you.}$