A number is such that it is as much greater than 65 as it is less than 91. Find the number.
Let the number be x.
      Since, we have [The number] - 65 = 9] - [The number]                        x - 65 = 91 -x
                        x + x = 91 + 65
                            2x = 156
                              Â
                                     Â
                                       = 78
   Thus, the required number is 78.
The numerator of a fraction is 2 less than the denominator. If 1 is added to its denominator, it becomes ½. Find the fraction.