CAT 2020 Slot 3 QA Question & Solution
ArithmeticEasy
Question
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
Solution
Let Tom's age $= x$.
Then:
$$
\text{Dick's age } = 3x
$$
$$
\text{Harry's age } = 6x
$$
It is given that:
$$
3x + 1 = \frac{x + 3x + 6x}{3}
$$
Solving for $x$:
$$
x = 3
$$
Hence, Harry's age:
$$
6x = 6 \times 3 = 18 \text{ years}
$$
Therefore, Harry's age is 18 years.