Karen is thinking of two numbers. thier difference is nine and thier sum is 17. what are the Numbers?

X-y=9

x+y=17

16+1

15+2

14+3 all these = 17 but which one has a difference of 9

13+4 13-4=9

12+5

11+6

so the two #s u r looking for are 13 & 4

We can write the 2 numbers as a and b

we have

a-b = 9

a+b=17

we will solve the equations by adding them both and we get

2a=26, therefore a = 26/2=13

substitute in any equation and you will get 13 + ? = 17, so b = 4

a=13, b = 4