Question 1032119
<pre><b>
Smaller integer = {{{x}}}
Larger integer = {{{x+1}}}
Square of smaller integer = {{{x^2}}}
Square of larger integer = {{{(x+1)^2}}}
Square of larger integer - Square of smaller integer = 1987

{{{(x+1)^2-x^2}}}{{{""=""}}}{{{1987}}}
{{{(x+1)(x+1)-x^2}}}{{{""=""}}}{{{1987}}}
{{{x^2+x+x+1-x^2}}}{{{""=""}}}{{{1987}}}
{{{2x+1}}}{{{""=""}}}{{{1987}}}
{{{2x}}}{{{""=""}}}{{{1986}}}
{{{x}}}{{{""=""}}}{{{993}}}

Smaller integer = {{{x}}} = 993
Larger integer = {{{x+1}}} = {{{993+1)}}} = {{{994}}}

The consecutive integers are 993 and 994.

Edwin</pre></b>