Discussion
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 ?
Answer: B
Let the Father be \(x\) years when he died.
Average Age 10 years ago be \(A\)
Total Age 10 years ago = \(6A\)
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
\((6A +60 - x)/6 = 6A/6\)
\(\Rightarrow A + 10 -(x/6) = A \)
\(\Rightarrow x/6 = 10 \)
\(\Rightarrow x = 60\)
Therefore we can conclude that the father was 60 years old when he died.
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