Answer
26, 27
Work Step by Step
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 $702$, we write the following equation and solve it:
$x(x+1)=702$
$x^{2}+x-702=0$
$x^{2}-26x+27x-702=0$
$x(x-26)+27(x-26)=0$
$(x-26)(x+27)=0$
$(x-26)=0$ or $(x+27)=0$
$x=26$ or $x=-27$
Disregarding the negative answer, we find that the smaller whole number is 26. This means that the larger whole number is 27.
