Question
Five years ago, the ratio of Aman's age to Rahul's age
was 6:5. It is also known that Aman's age will be 47 years five years from now. Additionally, Rahul's current age is 12 years more than one-fifth of Aman's current age. We need to determine the present ratio of Rahul's age to Aman's age.Solution
ATQ, 5 yrs ago, the ratio of Aman's age to Rahul's age was given as 6:5, which can be expressed as (6x, 5x), The present ages of Aman and Rahul can be calculated as (6x + 5) and (5x + 5), respectively. We are also informed that Akshay's present age is 47 years. So,6x = 42 (since Akshay's age after 5 years will be 47, which implies his present age is 47 - 5 = 42) Solving for 'x', we find: x = 7 With 'x' determined, we can calculate Salman's present age as: Salman’s present age = 5x+5=5×7+5=35+5=40 Additionally, we know that Rahul's present age is 12 years more than one-fifth of Salman’s present age: Rahil’s present age = (1/5) × Salman’s present age + 12 = (1/5) × 40 + 12 = 8 + 12 = 20 Now, we can find the required ratio of Salman's and Rahul's present ages: Required ratio = Salman’s present age : Rahul’s present age = 40 : 20 = 2 : 1 So, the ratio of Salman's and Rahul's present ages is 2:1.
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