# CAT 2020 Question Paper | Quants Slot 3

###### CAT Previous Year Paper | CAT Quants Questions | Question 6

This question is from Linear Equations, with one layer of Arithmetic added on top of it. Being good at framing equations comes in handy during your CAT Preparation. This topic also helps you in other chapters. This question talks about three brothers. Their ages have been given following a particular relation. We need to find the age of one of these three brothers.

Question 6 : Dick is thrice as old as Tom and Harry is twice as old as Dick. If Dick's age is 1 year less than the average age of all three, then Harry's age, in years, is

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Let's consider Tom's age to be 'x' years.

Dick is thrice as old as Tom,
Dick's age = 3 × x = 3x

Harry is twice as old as Dick,
Harry's age = 2 × 3x = 6x

Dick's age is 1 year less than the average age of all three,
3x = Average(x, 3x, 6x) - 1
3x = $$frac{x+3x+6x}{3}$ - 1 3x = $\frac{10x}{3}$ - 1 1 = $\frac{10x}{3}$ - 3x 1 = $\frac{10x - 9x}{3}$ 1 = $\frac{x}{3}$ 3 = x x = 3 Harry's age = 6x = 6 × 3 = 18 years. The question is "Dick is thrice as old as Tom and Harry is twice as old as Dick. If Dick's age is 1 year less than the average age of all three, then Harry's age, in years, is" ##### Hence, the answer is, "18" ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Prepare for CAT 2023 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2023 Classroom Batches Starting Now! @Gopalapuram ###### 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? Mobile:$91) 99626 48484 / 94459 38484
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