The ratio of the present ages of Aman and Ankit is 2 : 1 and the sum of their present ages is 72 years. What will be Aman age in years after 6 years from now?

Introduction / Context:
This problem is a straightforward ratio and sum based age question. The present ages of two people are in a given ratio, and their sum is known. From this data, you must determine one person age after a few years. Such questions reinforce the link between ratios, total sums, and future ages, and they are frequently tested in aptitude exams.

Given Data / Assumptions:

• The ratio of the present ages of Aman and Ankit is 2 : 1.
• The sum of their present ages is 72 years.
• We need to find Aman age after 6 years.
• Both ages increase normally by 6 years over the given period.

Concept / Approach:
Express the present ages of Aman and Ankit as 2k and 1k respectively using the given ratio. Then use the given sum to compute k. Once k is known, Aman present age can be obtained, and adding 6 years gives Aman age after 6 years. This is a standard use of ratio and sum information to convert relative ages into actual ages.

Step-by-Step Solution:
Step 1: Let Aman present age be 2k years and Ankit present age be k years. Step 2: From the sum condition, 2k + k = 72, so 3k = 72. Step 3: Solving 3k = 72 gives k = 24. Step 4: Aman present age is 2k = 2 × 24 = 48 years. Step 5: After 6 years, Aman age will be 48 + 6 = 54 years. Step 6: Therefore, Aman age after 6 years will be 54 years.

Verification / Alternative check:
Once we have Aman present age as 48 years, Ankit present age is 24 years, because the ratio is 2 : 1. The sum 48 + 24 = 72 years matches the total given in the question, confirming that the value of k is correct. After 6 years, their ages will be 54 and 30 respectively, and although the ratio changes, the question only asks for Aman age, which we have accurately determined as 54 years.

Why Other Options Are Wrong:
Option 30 and 48: These correspond to present ages or incorrect future ages and do not reflect Aman age after 6 years when solved correctly.
Option 52 and 50: These values do not match the linear increase from the correct present age of 48 when 6 years are added, nor do they agree with any consistent ratio setup.

Common Pitfalls:
Some learners mistakenly divide 72 by 2 instead of 3, or assign the ratio parts incorrectly, for example switching the ages of Aman and Ankit. It is important to clearly label the ratio and carefully use the sum to find the correct value of the common factor. Double checking that the sum of the derived ages matches the given total helps confirm that there are no basic errors.

Final Answer:
Aman age after 6 years will be 54 years.