Respuesta :

Let

x---------> the first number

x+1------> the second number


we know that

[tex] (x+1)^{2} -x^{2} =17\\ x^{2} +2x+1-x^{2} =17\\ 2x+1=17\\ 2x=16\\ x=8 [/tex]

so

[tex] x=8\\ x+1=9 [/tex]


therefore


the answer is

the numbers are

[tex] 8,9 [/tex]