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Age · UPSC CDS/OTA · Question 5 of 52

Age: Five years ago, the ratio of the ages of A and B was 9:7. Ten years hence, the ratio will be 11:9. Find their present ages.

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

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

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Q · AgeDifficult · 45s

Five years ago, the ratio of the ages of A and B was 9:7. Ten years hence, the ratio will be 11:9. Find their present ages.

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

Step-by-Step Solution

The complete worked solution.

Every step explained - no skipped algebra.

Let present = 9x+5, 7x+5 ⇒ (9x+15)/(7x+15) = 11/9 ⇒ solve ⇒ x=5 ⇒ A=50, B=40.

Final Answer: Option A - 50, 40
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Five years ago, the ratio of the ages of A and B was… - Age (Mathematics) Solved Question