6 years ago Amit was twice as old as Vivek .If the ratio of their present ages is 9 : 5 respectively .What is the difference between their present ages in years ? 6 वर्ष पहले अमित विवेक की आयु से दुगुना था। यदि उनकी वर्तमान आयु का अनुपात 9 : 5 है, तो उनकी आयु का वर्तमान अन्तर वर्षो में कितना है?

Let present ages be 9x and 5x. Six years ago: Amit was 9x-6, Vivek was 5x-6. Given: 9x-6 = 2(5x-6), so 9x-6 = 10x-12, giving x = 6. Present ages: Amit = 54, Vivek = 30. Difference = 24 years. Checking: 6 years ago, Amit was 48, Vivek was 24 - the ratio was indeed 2:1. Option B would mean x=7.5, giving ages 67.5 and 37.5.