Question

Find the value of two numbers if their sum is 17 and their difference is 1.

Answer 1

The values are 9 and 8

Explanation:

Let the first number be x

Let the second number be y

The sum of x and y is x+y=17

The difference of x and y is x-y=1

x+y=17 (this is equation 1)

x-y=1 (this is equation 2)

Now we will add equation 1 and equation 2.

x+y = 17

x-y = 1

______

2x =18

x= 18/2

x= 9

Now put the value of x in equation 1.

x+y = 17

9+y = 17

y = 17-9

y = 8

Solution Set ={(x,y)(9,8)}