Question

the sum of two numbers is 9 and the difference is 1

Answer 1

Answer:

5 and 4

Explanation:

Let the two numbers be x and y

x−y=1
x+y=9

Solve for x in the first equation

x=1+y

Substitute 1+y instead of x in the second equation

(1+y)+y=9
1+2y=9
2y=8
y=4

Substitute y in any of the equations

x+y=9
x+4=9
x=5

The two numbers are 5 and 4

Answer 2

x+x+1=9
2x+1=9
2x=8
x=4
x+1=4+1=5
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