Question

what two has a sum of 20 and a difrence of 6

Answer 1

Answer:

Two numbers have a difference of 6, the sum of their square is 20. What are the numbers? They are (2,-4) or (4,-2).

Answer 2

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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 6. In other words, x minus y equals 6 and can be written as equation B:

$x - y = 6$

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

$x - y = 6$

$x = 6 + y$

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

• x + y = 20
• 6 + y + y = 20
• 6 + 2y = 20
• 2y = 14
• y = 7

• Now we know y is 7. Which means that we can substitute y for 7 in equation A and solve for x:

• x + y = 20
• x + 7 = 20
• X = 13

• Summary: The sum of two numbers is 20 and their difference is 6. What are the two numbers?
• Answer: 13 and 7 as proven here:

Sum: 13 + 7 = 20,

Difference: 13 - 7 = 6

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