When I was married 10 years ago my wife is the 6th member of the family. Today my father died and a baby born to me.The average age of my family during my marriage is same as today. What is the age of Father when he died?

• let average age 10 yrs ago was x yrs,
  total age 10 yrs before was 6x yr ,
  at present,father died, now members remains= 5,
  now total age after 10 yrs is (no. of member)*(x+10) yrs,i.e.total age is 5(x+10)
  and after baby born total age = 5(x+10)+0, because baby age is 0 yrs
  as per ques. both time, age is same i.e. 6x=5x+50+0
  after solving.. x=50,i.e. father's age before 10 yrs was 50 yrs,
  now father died after 10 yrs hence age at dead time= 50+10=60 yrs.
• 13 years agoHelpfull: Yes(79) No(25)
• before 10 years average age=6x;
  after 10 years(today) father dies and baby is born, so age is-10+5x+0(0 years for baby)
  now by the question,
  The average age of my family during my marriage is same as today i.e- 6x=10+5x+0=> x=10;
  so age of father before 10 years 6x10=60
  since father dies after 10 years(today)
  age of father is 60+10=70 years
• 11 years agoHelpfull: Yes(42) No(10)
• 60 years
  before 10 years, his father's age is 50.
  so today, other 5 people's age increases by 10 each.
  Hence today without his father also the average age remains same.
• 13 years agoHelpfull: Yes(19) No(12)
• Let the Father be x years when he died
  
  Average Age 10 years ago be A
  
  Total Age 10 years ago = 6*A
  
  Total Age after 10 years(Just before father's Death) = 6A + 6*10 = 6A + 60
  
  Father Died and Baby was born => the Total number of people in the family is Same (6)
  Baby born today so age of baby = 0
  
  (6A +60 - x)/6 = 6A/6
  => A + 10 -(x/6) = A
  => x/6 = 10
  => x = 60
  
  Therefore we can conclude that the father was 60 years old when he died.
• 11 years agoHelpfull: Yes(5) No(1)
• Let average age 10 years ago be x yrs.
  So for 6 members, total age would be 6x yrs;
  after 10 years avg would increase by x+10
  but only 5 members left because father died so total age 5(x+10) yrs
  now baby is born but 0 yrs will be added so it still remains 5(x+10) yrs
  according to question 6x=5(x+10)
  gives you x=50
  so 10 years go there were 6 member including father so 5 member + Father
  so avg would (5*50 + F)/6=50
  gives F=50
  so father died 10 years later i.e today so
  Father's age when he died 60 yrs
• 7 years agoHelpfull: Yes(1) No(0)
• Baby Age - 0 as per ques.
  Each F.member have a 10 years Gape
  father Age before 10years back 50.
  50+10=60 years ..
• 8 years agoHelpfull: Yes(0) No(1)
• answer is 60 yrs....
• 8 years agoHelpfull: Yes(0) No(0)
• Answer is 60 yrs
• 8 years agoHelpfull: Yes(0) No(0)
• Let x be the Avg
  Let x+10 be the Avg 10 yrs ltr
  we know that a newborn child is 0 yrs
  Replacing the grandpa by a 0 yr old individual has to produce an overall effect of -10
  -10*6 = -60
  Thus if we replace a 60 yr old man with a 0 yr old baby it produces the desired -10 effect to the avg
• 4 years agoHelpfull: Yes(0) No(0)