Upon asking her grandchild"s age she told that she is as older as many days as her daughter"s age in weeks and as many days as her own age in years.The sum of the three is 130.Then what is the age of the child?

• Let the ages of grandmother, her daughter and the grandchild be x, y and z respectively in years.
  
  z in days = y in weeks
  z * 365 = y * 52 ... (i)
  
  Similarly, z in days = x in years
  z*365 = x ... (ii)
  
  Also, x + y + z = 130 ... (iii)
  
  Substituting the values of x, y and z in equation (iii) we get,
  
  365*z + (365/52)*z + z = 130
  
  Solving this we get z = 0.3485 in years = 127 days
  
  So the child is 127 days old.
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