The question is from CAT Ratio, Mixtures and Averages. How average age is affected when a child is born? CAT exam is known to test on basics rather than high funda ideas. A range of CAT questions can be asked from Ratios and Proportions, Mixtures, Alligations and Averages. Make sure you master the topics. 2IIMs CAT questions bank provides you with CAT questions that can help you gear for CAT Exam CAT 2020.

Question 22: The average age of a couple was 24 years. After their 1st and 2nd children (twins) were born, the average age of the family became 13.5 years. The average age of the family just after 3rd child was born was 13.2 years. The average age of the family after 4th child was born was 16 years. The current average age of the family is 19 years. What is the current age of the twin children?

- 14 years
- 15 years
- 11 years
- 12 years

12 years

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Sum of the ages of the couple = 24 * 2 = 48

After the 1st and 2nd children, sum = 13.5 * 4 = 54

Difference in sum = 54 – 48 = 6 years

Or after \\frac{6}{2}\\) = 3 years, the twin were born to the couple (Ages of children at the time of birth is 0)

After 3rd child, sum = 13.2 * 5 = 66 yrs

Difference = 66 – 54 = 12

Or after \\frac{12}{4}\\) = 3 yrs, 3^{rd} child was born (Couple + 2 children were already present. So 4)

After 4th child, sum = 16 * 6 = 96 yrs

Difference = 96 – 66 = 30

Or after \\frac{30}{5}\\) = 6 yrs, 4^{th} child was born

Current sum = 19 * 6 = 114 yrs

Difference 114 – 96 = 18 yrs

Or after \\frac{18}{6}\\) = 3 yrs

The gap between the children are as follows: 3 yrs, 6 yrs and 3 yrs

Age of eldest ones = 3 + 6 + 3 = 12

The question is **"What is the current age of the twin children?"**

Choice D is the correct answer.

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