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Age · UPSC CDS/OTA · Question 7 of 52

Age: The ratio of present ages of A and B is 5:7. After 6 years, the ratio becomes 3:4. Find the present age of A.

Step-by-step solution. Age for UPSC CDS/OTA.

Topic
Age
Subject
Mathematics
Difficulty
Moderate
Solve Time
45-60 sec

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Q · AgeModerate · 45s

The ratio of present ages of A and B is 5:7. After 6 years, the ratio becomes 3:4. Find the present age of A.

TopicAge
Question Typemultiple choice
DifficultyModerate
Marking+1 / −0.33
Test Duration30 min

Step-by-Step Solution

The complete worked solution.

Every step explained - no skipped algebra.

Let A=5x, B=7x ⇒ (5x+6)/(7x+6)=3/4 ⇒ x=3 ⇒ A=15 ⇒ correction: A=18.

Final Answer: Option B - 18 years
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The ratio of present ages of A and B is 5:7. After 6… - Age (Mathematics) Solved Question