Question 144682
The number: {{{x}}}
6 added to the number (the sum): {{{x + 6}}}
6 subtracted from the number (the difference): {{{x - 6}}}
Product of the sum and difference is 189: {{{(x+6)(x-6)=189}}}


So: {{{x^2-36=189}}}
{{{x^2=225}}}
{{{x=15}}} or {{{x=-15}}}


Check:
{{{15 + 6 = 21}}}
{{{15 - 6 = 9}}}
{{{21 * 9 = 189}}}


{{{-15 + 6 = -9}}}
{{{-15 - 6 = -21}}}
{{{-9 * -21 = 189}}}