When 23 is subtracted from the square root of three times a number, the result is 16. find the number?

(√3n)-23=16

Put all of the numbers without a variable on the right side of the equation
(√3n)=39

Simplify 
1.732051n=39

Divide 39 by 1.732051
n=22.516658

Round
n=22.5