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Age · UPSC CDS/OTA · Question 4 of 52

Age: Ten years ago, the ratio of the ages of A and B was 7:5 and the sum of their present ages is 64 years. Find A’s present age.

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

Ten years ago, the ratio of the ages of A and B was 7:5 and the sum of their present ages is 64 years. Find A’s present age.

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 10 years ago: 7x, 5x ⇒ now: 7x+10, 5x+10 ⇒ sum=12x+20=64 ⇒ x=3.67 ⇒ A=40.

Final Answer: Option B - 40 years
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Ten years ago, the ratio of the ages of A and B was 7:5… - Age (Mathematics) Solved Question