There was a grandmother in a village who had a grandchild . Upon asking her grandchild’s age she told that she is older as many days old 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 how old is 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.
• 13 years agoHelpfull: Yes(21) No(1)
• Consider all the ages in days
  so Grand Daughter age will be simply x
  Daughter age is in week , so x*7 days
  her age is in year so x*365
  
  The total is 130
  hence x+x*7+x*365=130*365 ( 365 is multiplied because 130 is in yrs )
  By solving you will get x=127
• 12 years agoHelpfull: Yes(5) No(0)
• Grandmother's age= x;
  Mother's age =y;
  X/365 = y/(12*7)=grandchild's age(in year);
  (x/365)+(((12*7)/365)x)+x=130;
  Solving, x=105.44 year, therefore grandchild's age is 0.28 year, i.e 3.46 months
• 10 years agoHelpfull: Yes(0) No(0)