Problem based on ages for competitive exams

Age Related Problems-Important point

You can easily solve age related questions if you know how to solve linear equations.We are sharing some shortcut formulas for solving age related problems faster in competitive exams.
  • If present age of a person is x,then age of that person n years ago is x-y and age after n years will be x+n.
  • The present ages of A and B are x and y respectively.If A is n times older than B,then x=ny .If A is n years older than B,then x=y+n.
  • If the product of the present ages of A and B is x years and ratio of the present ages of A and B is a:b.Then, Age of A=a*sqrt(x/ab)                                                                                                                     Age of B=b*sqrt(x/ab)
  • If  a man's age is x% of what it was t1 years ago, but y% of what it will be after t2 years.Then his present age is (xt1+xt2)/(x-y) years.
  • In a group if one member is added then,Age of  new entrant =New average+ No of old members*change in average.
  • Age of new person =Age of the removed person+ No of members *change in average
  • If one person left then,Age of one who left=New average- No of old members*change in average.