Question : Directions: 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)?
Option 1: 41
Option 2: 35
Option 3: 15
Option 4: 45
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Correct Answer: 15
Solution :
Given:
Amit is younger than Arjun by 6 years. The ratio of the ages of Amit and Arjun is 5 : 7.
Let the ages of Amit and Arjun be 5x and 7x.
According to the question,
Amit is younger than Arjun by 6 years:
7x – 5x = 6
2x = 6
x = 6/2
x = 3
Age of Amit is 5x = 5 × 3 = 15
So, the age of Amit is 15. Hence, the third option is correct.
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