Question
Present ages of Arjun and Bhavesh are in the ratio of
5:7 respectively. Present age of Chandan is 25% more than the age of Bhavesh six years ago. Present age of Chandan and Deepak are in the ratio of 9:11. Find the present age of Chandan, if the present average age of Arjun, Bhavesh, Chandan, and Deepak is one year more than the present age of Bhavesh.Solution
ATQ,
Let the present ages of Arjun and Bhavesh be ‘5x’ years and ‘7x’ years respectively.
Age of Bhavesh six years ago = (7x – 6) years
Present age of Chandan = 1.25 × (7x – 6) = (8.75x – 7.5) years
Present age of Deepak = (11/9) × (8.75x – 7.5) years
According to the question,
5x + 7x + 8.75x – 7.5 + (11/9) × (8.75x – 7.5) = 4 × (7x + 1)
45x + 63x + 78.75x – 67.5 + 96.25x – 82.5 = (28x + 4) × 9
283x – 150 = 252x + 36
31x = 186
x = 6
So, the present age of Chandan = 8.75 × 6 – 7.5 = 52.5 – 7.5 = 45 years
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