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Age · UPSC CDS/OTA · Question 10 of 52

Age: The sum of ages of A, B, C is 80 years. Five years ago, their ages were in the ratio 2:3:4. Find the present age of C.

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

The sum of ages of A, B, C is 80 years. Five years ago, their ages were in the ratio 2:3:4. Find the present age of C.

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 5 years ago: 2x,3x,4x ⇒ sum=9x=65 ⇒ x=7.22 ⇒ C=33+5=38.

Final Answer: Option D - 38
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The sum of ages of A, B, C is 80 years. Five years ago… - Age (Mathematics) Solved Question