Sum of ages of Anu and Bhanu is 10 years... - Solved

Question 76

Logical Reasoning Puzzles Easy

Sum of ages of Anu and Bhanu is 10 years more than sum of ages of Bhanu, Chanu and Dhanu. Average age of Chanu and Dhanu is 19 years. Find the average age of Anu and Dhanu if Dhanu is 10 years elder than Chanu.

(A) 36 years

(B) 30 years

(C) 25 years

(D) 31 years

✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Quick Solution

Let's represent the ages of Anu, Bhanu, Chanu, and Dhanu as A, B, C, and D respectively. We can solve this by setting up and solving equations from the clues provided.

1. Find the Ages of Chanu (C) and Dhanu (D)

We are given two pieces of information about Chanu and Dhanu:

Their average age is 19 years: (C + D) / 2 = 19, which means C + D = 38.
Dhanu is 10 years older than Chanu: D = C + 10.

We can substitute the second equation into the first to solve for their ages:
C + (C + 10) = 38
2C = 28 => C = 14 years old.
D = 14 + 10 = 24 years old.

2. Find the Age of Anu (A)

- The first clue states: A + B = (B + C + D) + 10.
- The age of Bhanu (B) on both sides of the equation cancels out, leaving us with: A = C + D + 10.
- Since we already know that C + D = 38, we can easily find A's age:
A = 38 + 10 = 48 years old.

3. Calculate the Final Average Age

- The question asks for the average age of Anu (A) and Dhanu (D).
- Average = (A + D) / 2
- Average = (48 + 24) / 2 = 72 / 2 = 36 years.

Final Answer: The average age of Anu and Dhanu is 36 years.