What is the value of 'x' such that, given their current ages are in a 3:7 ratio, 'x' years ago, the ratio of 'Adarsh' and 'Malik's ages was 1:3, and if we fast forward two years from now, 'Adarsh's age will be half of 'Malik's current age?
Let the present ages of 'Adarsh' and 'Malik' be '3a' years and '7a' years, respectively. ATQ: 3a + 2 = 7a ÷ 2 Or, 3a + 2 = 3.5a Or, 2 = 0.5a So, a = 4 So, present age of 'Adarsh' = 3a = 3 × 4 = 12 years And present age of 'Malik' = 7a = 7 × 4 = 28 years ATQ; {(12 - x))/(28 - x)} = (1/3) 3 × (12 - x) = 28 - x Or, 36 - 3x = 28 - x Or, 2x = 8 So, x = 4
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