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Amit is younger than Arjun by 6 years. If the ratio of the ages of Amit and Arjun is 5 : 7, then what is the age of Amit (in years)?
1. 41
2. 35
3. 15
4. 45

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Correct Answer - Option 3 : 15

Let the age of Amit be 'x' years.

Age of Arjun = x + 6 years

Ratio of the ages of Amit and Arjun is 5 : 7

Therefore, 

x/x + 6 = 5/7

⇒ 7x = 5(x + 6)

⇒ 7x = 5x + 30

⇒ 2x = 30

⇒ x = 15

Amit's age is 15 years.

Hence, 15 is the correct answer.

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