Question
In 12 years, the ratio of the
ages of 'Arjuna' and 'Bheem' will be 8:7. Currently, the average of the ages of 'Arjuna' and 'Charu' is 30 years, and 'Bheem's present age is 25% greater than 'Charu's current age. What is the ratio of the current ages of 'Arjuna', 'Charu', and 'Bheem'?Solution
ATQ, Let ages of āArjunaā and āBheemā, after 12 years will be ā8xā years and ā7xā years respectively. Let present age of āCharuā is āzā years. So, (8x ā 12 + z) = 30 Ć 2 Or, z = 72 ā 8x And, 7x ā 12 = 1.25 Ć z = 1.25 Ć (72 ā 8x) Or, 7x ā 12 = 90 ā 10x Or, 17x = 102 Or, x = 6 Present age of āArjunaā = 8 Ć 6 ā 12 = 36 years Present age of āBheemā = 7 Ć 6 ā 12 = 30 years Present age of āCharuā = 72 ā 8 Ć 6 = 24 years Desired ratio = 36:24:30 = 6:4:5
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