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MCQ Problem Solving - Age Problems

The CAT Online Free Test Prep MCQs Problem Solving - Age Problems

Problem Solving: Age Problems

Question:

The ages of the two persons differ by 20 years. If 5 year ago, the older one be 5 times as old as the younger one, then their present ages, in year are:
Option A:      25, 5
Option B:      30, 10
Option C:      35, 15
Option D:      50, 30
  A     B     C     D  
Show/Hide Answer and Explanation

Correct Answer: B

Explanation Video

Explanation

Let the age be xx and yy years now.
Then, x−y=20x−y=20 -------- (i)
and (x−5)=5(y−5)(x−5)=5(y−5) ------- (ii)
On solving both equation we get: x=30x =30 and y = 10

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How to Solve Age Problems

For Age Problems question first understand the statement and the question stem. Try to solve and click the corresponding answer option. The drop down will appear to show the correct answer and explanation.