CAT Exam Model Paper 1 with solutions for free online practice

Question : 74 of 100

Marks: +1, -0

The average age Of Donald, his wife and their two children is 23 years. His wife is just 4 years younger than Donald himself and his wife was 24 years old when his daughter was born. He was 32 years old when his son was born. The average age of Donald and his daughter is:

25 years
22.5 years
26 years
can’t be determined

Validate

Solution:

(a) Let Donald be denoted by H (Husband)
His wife be denoted by W (Wife)
His daughter be denoted by D (Daughter)
His son be denoted by S (Son)
The average age of 4 persons

={(\H+\W+\D+\S)}/4=

23
⇒H + W + D + S = 92
Again H = W + 4

So at the time of birth of his son, total age of his family = 64 years(32 + 28 + 4 + 0 = 64)
and presently the total age of his family = 92 years
It means total increase in age of the whole family = 28 years
Thus the average increase in age =

28/4

=7 years
It means the age of Donald = 39 years
and age of his daughter = 11 years
Therefore, the average age of Donald and his daughter is 25 years.

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