Question

the sum of 2 numbers is 17 and their difference is 1 what are the 2 numbers

Answer 1

please refer to the attachment file given mate.

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Answer 2

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

The sum of x and y is 17. In other words, x plus y equals 17 and can be written as equation A:

x + y = 17

The difference between x and y is 1. In other words, x minus y equals 1 and can be written as equation B:

x - y = 1

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

x - y = 1

x = 1 + y

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

x + y = 17

1 + y + y = 17

1 + 2y = 17

2y = 16

y = 8

Now we know y is 8. Which means that we can substitute y for 8 in equation A and solve for x:

x + y = 17

x + 8 = 17

X = 9

Summary: The sum of two numbers is 17 and their difference is 1. What are the two numbers? Answer: 9 and 8 as proven here:

Sum: 9 + 8 = 17

Difference: 9 - 8 = 1