Mathematics · Quantitative Comparison

Evaluate the values of 'x' in the following three independent statements: Quantity I: A container contains 432 litres of mixture of water and milk in the ratio 5:13, respectively. 90 litres of mixture is taken out and 'x' litres of water is mixed, making the new ratio of water to milk 9:19. Find 'x'. Quantity II: There are 'x' students in a class out of which 10 are boys. Two students are randomly chosen for a speech. If the total number of ways of choosing either 2 boys or 2 girls is 111, find 'x'. Quantity III: The ratio of the present ages of Aditya and Arjun is 3:4, respectively. After 10 years, the ratio becomes 5:6. Rajiv is 9 years older than Aditya and his present age is 'x' years. Find 'x'.