In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: The ratio of two numbers is 6 : 11 and their difference is 65. What will be the smaller number among both the numbers? Quantity B: The ratio of two numbers is 5 : 6. If their product is 1470, then what is the sum of both the numbers? Correct Answer Quantity A > Quantity B Quantity A: Let the two numbers be ‘6x’ and ‘11x’ respectively Difference = 11x – 6x = 65 ⇒ 5x = 65 ⇒ x = 65/5 = 13 ∴ Smaller number = 6x = 6(13) = 78 Quantity B: Let two number be 5x and 6x Product = 5x × 6x = 30x2 According to the question, 30x2 = 1470 ⇒ x2 = 49 ⇒ x = 7 Now, ∴ Sum = 5x + 6x = 11x = 11 × 7 = 77 ∴ Quantity A > Quantity B