CAT Exam Model Paper 1 with solutions for free online practice

Question : 68 of 100

Marks: +1, -0

A couple got married 9 years ago when the age of wife was 20% less than her husband. 6 years from now the age of wife will be only 12.5% less than her husband. Now they have six children including single, twins and triplets and the ratio of their ages is 2:3: 4 respectively. What can be the maximum possible value for the present age of this family?

Your Answer:

Validate

Solution:

{ H - 9 }/ { W - 9 } = { 5 } /{ 4 }

and

{ H + 6 } /{ W + 6 } = { 8 } /{ 7 }

∴ Thus the present age of Husband is 34 years and present age of his wife is 29 years.
Now, the maximum age of any child must be less than 9 years.
Hence their ages can be 2, 3 and 4 years or 4, 6 and 8 years.
So the max. possible sum of age of this family =

34 + 29 + (1 × 4 + 2 × 6 + 3 × 8)

= 103 years

Go to Question:

Prev Question

Next Question