# CAT Quantitative Aptitude Questions | CAT Ratios, Mixtures, Alligations and Averages Questions

###### CAT Questions | Averages | Average Age

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?

1. 14 years
2. 15 years
3. 11 years
4. 12 years

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##### Method of solving this CAT Question from Ratio, Mixtures and Averages: Based on the sum of ages of the couple and the children, we first need to find the time gap between the birth of each child!

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, 3rd 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, 4th 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?" ##### Hence, the answer is "12 years". Choice D is the correct answer. ###### 🏏 CAT 2021 could be your Gabba Victory! Fabulous 5,000 off on online courses. Valid until 20th Jan ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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