At the present, Palash is three times Arnav's age. After

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At the present, Palash is three times Arnav's age. After 7 yr, Palash will be twice Arnav's age, then how many times will Palash's age be in another 14 yr time with respect to Arnav's age then ?

1. 1
2. 3
3. 2
4. 1.5
5. None of the above

Correct Option: A

Let Arnav's age = k yr
Then, Palash's age = 3k yr
Acoording to the question, 3k + 7 = 2(k + 7)
⇒ 3k + 7 = 2k + 14
⇒ k = 7

∴ Age of Arnav after 14 yr = 7 + 14 = 21 yr
and Palash's present age = 21 yr

Hence, Palash's age is one time of Arnav's age .