Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. By how many years is Manjulika elder than Bhanumati? I: The ratio of Bhanumati’s age four years ago to Manjulika’s present age is 2 : 3. II: The ratio of Bhanumati’s present age to Manjulika’s age after four years is 5 : 7.
Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. By how many years is Manjulika elder than Bhanumati? I: The ratio of Bhanumati’s age four years ago to Manjulika’s present age is 2 : 3. II: The ratio of Bhanumati’s present age to Manjulika’s age after four years is 5 : 7. Correct Answer The data in both the statements I and II together are necessary to answer the question.
Let the present ages of Bhanumati and Manjulika be x and y respectively
From statement I:
⇒ (x - 4)/y = 2/3
⇒ 3x - 12 = 2y
⇒ 3x - 2y = 12 ----(1)
From statement II:
⇒ x/(y + 4) = 5/7
⇒ 7x = 5y + 20
⇒ 7x - 5y = 20 ----(2)
By solving the equation (1) and (2) we can get the required answer.
∴ Both the statements are required.