The present age ratio of Ashok to Pradeep is 4 : 3. Ashok will be 26 years old after 6 years. How old is Pradeep now?

Difficulty: Easy

Correct Answer: 15 years

Explanation:


Introduction / Context:
Use the ratio to express present ages in terms of a multiplier, then connect with the given future age to compute the multiplier and hence the other person's age.


Given Data / Assumptions:

  • Ashok : Pradeep = 4 : 3 ⇒ Ashok = 4k, Pradeep = 3k
  • Ashok after 6 years = 26 ⇒ current Ashok = 20


Concept / Approach:
Set 4k = 20 ⇒ k = 5, then compute Pradeep = 3k.


Step-by-Step Solution:

4k = 20 ⇒ k = 5Pradeep = 3k = 15 years


Verification / Alternative check:
Ashok 20 now; ratio 20 : 15 = 4 : 3, and Ashok in 6 years = 26, consistent.


Why Other Options Are Wrong:
12, 19.5, 21 do not preserve 4 : 3 when Ashok is 20 now.


Common Pitfalls:
Using 26 directly in the ratio without subtracting 6 years to get the present age.


Final Answer:
15 years.

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