Question
The present age ratio of Anshul
to Pawan is 5:7, and that of Chinky to Diksha is 3:2. A decade ago, the ratio of Anshul’s age to Chinky’s age was 3:4. Furthermore, after a decade, the age ratio of Pawan to Diksha will be 3:2. Calculate the average current age of Anshul, Pawan, and Chinky.Solution
ATQ, Let present age of Anshul and Pawan be ‘5x’ years and ‘7x’ years respectively. And, present age of Chinky and Diksha be ‘3y’ years and ‘2y’ years respectively. According to question, (5x – 10)/(3y – 10) = 3/4 20x – 40 = 9y – 30 20x – 9y = 10………………………. (1) (7x + 10)/(2y + 10) = 3/2 14x + 20 = 6y + 30 14x – 6y = 10 7x – 3y = 5……………………….. (2) Solving equation (1) and (2), we get x = 5 and y = 10 So, Desired Average = (5 × 5 + 7 × 5 + 3 × 10)/3 = 30 year
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