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Verified Answer :

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 \(x+y=17\)

Difference is 1, so \(x-y=1\)

Now we solve for x and y, Add both equations

\(x+y=17\)

\(x-y=1\)

-------------------------

\(2x= 18\)

Divide both sides by 2

x= 9

Now we plug in x and find out y

\(x+y=17\)

\(9+y=17\), subtract 9 on both sides

\(y=8\)

Two numbers are 9 and 8