Question
Half a decade ago, the ages of two individuals, Akash
and Kavita, were in a specific ratio of 2:3. Fast forward five years from the present, we find that Akash's age will be a quarter less than that of Kavita's age. Could you determine the combined total of their current ages?Solution
ATQ, Let the ages of 'Akash' and 'Kavita', five years ago from now, was '2k' years and '3k' years, respectively. (2k + 10) = (3k + 10) × 0.75 Or, 2k + 10 = 2.25k + 7.5 Or, 0.25k = 2.5 So, k = 10 So, present age of 'Akash' = 2k + 5 = 2 × 10 + 5 = 25 years And present age of 'Kavita' = 3k + 5 = 3 × 10 + 5 = 35 years So, required sum = 25 + 35 = 60 years
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