Respuesta :

9 and 8  they add up to 17 and have a difference on 1

Answer:

Two numbers are 9 and 8

Step-by-step explanation:

two numbers have a sum of 17 and difference of 1

LEts x and y be the two numbers

sum is 17, so [tex]x+y=17[/tex]

Difference is 1, so [tex]x-y=1[/tex]

Now we solve for x and y, Add both equations

[tex]x+y=17[/tex]

[tex]x-y=1[/tex]

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[tex]2x= 18[/tex]

Divide both sides by 2

x= 9

Now we plug in x and find out y

[tex]x+y=17[/tex]

[tex]9+y=17[/tex], subtract 9 on both sides

[tex]y=8[/tex]

Two numbers are 9 and 8

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