Eight years ago there were 5 members in the Arthur’s family and then the average age of the family was 36 years. Mean while Arthur got married and gave birth to a child. Still the average age of his family is same now.

The age of his wife at the time of his child’s birth was. If the difference between the  age of her child and herself was 26 years

  • Option 1)

    23 years  

  • Option 2)

    26 years                  

  • Option 3)

    20 years      

     

  • Option 4)

     Can’t be determined

  • Option 5)

    25 years                       

Answers (1)

Since we know difference b/w ages of 2 persons is constant.
So if child age (present) = x
Age of wife = x+16
total age=> x+x+26 = 32 \: \: \: \left [ 252 -220 =32 \right ]
=> x=3
So\: age\: of\: wife = 29\: years (present)
At\: birth \: of \: child = 29-3 = 26 years.

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