ANSWER :
x = 8
EXPLANATION :
The first number is x
The second number is 9 more than x which is (x + 9)
The product of these numbers is 136
The equation will be :
[tex]\begin{gathered} x(x+9)=136 \\ x^2+9x=136 \\ x^2+9x-136=0 \\ \text{ Factor completely :} \\ (x+17)(x-8)=0 \end{gathered}[/tex]The values of x are :
x + 17 = 0
x = -17
x - 8 = 0
x = 8
Since we are looking for the positive value of x, it will be x = 8