Question
The ratio of the ages of Aman and Bhuvan 5 years ago was
5:6 respectively. 7 years from now, their ages will be in the ratio 9:10 respectively. What is the current age of Bhuvan?Solution
ATQ,
Let the ages of Aman and Bhuvan 5 years ago be '5x' years and '6x' years respectively. So, age of Aman after 7 years = 5x + 5 + 7 = (5x + 12) years And, age of Bhuvan after 7 years = 6x + 5 + 7 = (6x + 12) years ATQ, [(5x + 12) ÷ (6x + 12)] = (9/10) So, 10 × (5x + 12) = 9 × (6x + 12) => 50x + 120 = 54x + 108 => 12 = 4x => x = 3 So, present age of Bhuvan = 6 × 3 + 5 = 23 years
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