Question
Present ages of Ram and Raj are in the ratio 6:7,
respectively. The ratio of their ages after 12 years will be 9:10. The difference between the ages of Raj and Rakesh is two years. Find the present age of Rakesh.Solution
We can say that, Let the present ages of Ram and Raj are 6a years and 7a years, respectively. According to question: (6a + 12)/(7a + 12) = 9/10 60a + 120 = 63a + 108 3a = 12 a = 4 So, the present ages of Ram and Raj are 24 years and 28 years, respectively. Present age of Rakesh = either 28 + 2 = 30 years or 28 – 2 = 26 years. So the present age of Rakesh is either 26 years or 30 years.
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