What is the missing figure in the expression given below? \[\frac{16}{1}\times \frac{16}{7}-\frac{*}{7}\times \frac{9}{7}+\frac{9}{7}\times \frac{9}{7}=1\]
Taking \[\sqrt{2}=1.414,\] \[\sqrt{3}=1.732,\] \[\sqrt{5}=2.236,\] and \[\sqrt{6}=2.449,\] find the value of \[\frac{9+\sqrt{2}}{\sqrt{5}+\sqrt{3}}+\frac{6-\sqrt{2}}{\sqrt{5}-\sqrt{3}}\] to the three places of decimal.
Rs. 6500 were divided equally among a certain number of persons. Had there been 15 more persons each would have got Rs. 30 less. Find the original number of persons.