In a chain age relation problem, Anu's present age is 9 years more than what Raj's age will be after 5 years. Raj's present age is 7 years more than what Renu's age was 4 years ago. If Renu's present age is 19 years, what will be Anu's age after 5 years?

Difficulty: Medium

Correct Answer: 41 years

Explanation:


Introduction:
This question checks your ability to translate age statements into simple arithmetic. Such problems usually involve moving backward or forward in time (like 4 years ago, 5 years after) and linking ages across people. The safest approach is to start from the only fixed value given (Renu's present age), then compute Raj's present age, then compute Anu's present age, and finally move to Anu's age after 5 years.


Given Data / Assumptions:

  • Renu's present age = 19 years
  • Raj's present age = (Renu's age 4 years ago) + 7
  • Anu's present age = (Raj's age after 5 years) + 9
  • We need Anu's age after 5 years


Concept / Approach:
Convert each statement into a step: first shift Renu back 4 years, then add 7 to get Raj. Next shift Raj forward 5 years, then add 9 to get Anu. Then shift Anu forward 5 years for the final requirement.


Step-by-Step Solution:
Renu's age 4 years ago = 19 - 4 = 15Raj's present age = 15 + 7 = 22Raj's age after 5 years = 22 + 5 = 27Anu's present age = 27 + 9 = 36Anu's age after 5 years = 36 + 5 = 41


Verification / Alternative check:
If Anu is 36 now, Raj after 5 years is 27, and 27 + 9 = 36 matches the condition. Raj now is 22, Renu 4 years ago was 15, and 15 + 7 = 22 also matches. So the chain is consistent.


Why Other Options Are Wrong:
36 years: this is Anu's present age, not after 5 years.39 years and 46 years: come from incorrect time shifting (adding/subtracting years in the wrong place).34 years: would imply Anu's present age 29, breaking the given relations.


Common Pitfalls:
Confusing “was 4 years ago” with “will be after 4 years”.Applying the +9 years to Raj's present age instead of Raj's age after 5 years.Stopping at Anu's present age and forgetting to add 5 more years.


Final Answer:
41 years

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