Question 191376
Let x be the number.
Then "two more than a number" is x + 2;
"1 less than 4 times the reciprocal of the number" is 4/x-1.
As the two expressions are equal, we have
{{{x+2=4/x-1}}}
Solving for x, we have
{{{x^2+2x=4-x}}}   multiply both sides by x
{{{x^2+3x-4=0}}}
{{{(x+4)(x-1)=0}}}
So
x=1 or x=-4
Therefore the number is 1 or -4.