Question

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

Answer 1

Answer:

Sum: 14 + 6 = 20

Difference: 14 - 6 = 8

Step-by-step explanation:

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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

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Answer 2

༶•┈┈⛧┈♛Answer♛┈⛧┈┈•༶

Let the two numbers be "x" and "y".

It is given that the sum of two numbers is 20.

Therefore,

x + y = 20

On simplifying the above equation; we get:

x = 20 - y (Equation 1)

It is given that the difference of two numbers is 8.

x - y = 8

On putting the value of "x" from Equation 1 ; we get:

x - y = 8

=> x = 8 + y

=> 20 - y = 8 + y

=> 20 - 8 = y + y

=> 12 = 2y

OR

=> 2y = 12

=> y = 12/2

=> y = 6

Putting the value of y in Equation 1

x = 20 - y

x = 20 - 6

x = 14

Therefore,

The numbers are 6 and 14.

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