Question
The ratio of the weights of Arjun, Ravi, and Sameer is
7:6:5 respectively. The weight of Karan is 9 kg less than the weight of Arjun. If the difference between the weights of Arjun and Sameer is 24 kg, then what is the ratio of the weight of Ravi to the weight of Karan?Solution
Let the weights of Arjun, Ravi, and Sameer be 7x, 6x, and 5x respectively.
So, weight of Karan = (7x - 9)
ATQ,
7x - 5x = 24
Or, 2x = 24
Or, x = 12
So, weight of Ravi = 6 × 12 = 72 kg
And, weight of Karan = 7 × 12 - 9 = 84 - 9 = 75 kg
Required ratio = 72:75 = 24:25
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