Question 296248
Let the two numbers be x and x, then:
{{{x+y = 11}}} Rewrite this as: x = y-11 and substitute in the equation below:
{{{x*y = 18}}}
{{{(11-y)*y = 18}}} Simplify.
{{{11y-y^2 = 18}}} Rearrange into standard form for quadratic equation.
{{{y^2-11y+18 = 0}}} Solve by factoring.
{{{(y-2)(y-9) = 0}}} so that...
{{{y = 2}}} or {{{y = 9}}}
The two numbers are 2 and 9.