## Elementary Algebra

We take the first whole number as $x$. Since the next number will be one more than this number, the other whole number is taken as $(x+1)$. Since the product of the consecutive whole numbers is $306$, we write the following equation and solve it: $x(x+1)=306$ $x^{2}+x-306=0$ $x^{2}-17x+18x-306=0$ $x(x-17)+18(x-17)=0$ $(x-17)(x+18)=0$ $(x-17)=0$ or $(x+18)=0$ $x=17$ or $x=-18$ Disregarding the negative answer, we find that the smaller whole number is 17. This means that the larger whole number is 18.