What is the present age of Tanya? I. The ratio between the present ages of Tanya and her brother Rahul is 3 : 4 respectively. II. After 5 years the ratio between the ages of Tanya and Rahul will be 4 : 5. III. Rahul is 5 years older than Tanya.
A
I and II only
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B
II and III only
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C
I and III only
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D
All I, II and III
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E
Any two of the three
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Solution
The correct option is C Any two of the three I. Let the present ages of Tanya and Rahul be 3x years and 4 years. II. After 5 years. (Tanya's age) : (Rahul's age) = 4 : 5. III. (Rahul's age) = (Tanya's age) + 5 From I and II, we get 3x+54x+5=453x+54x+5=45 Correct answer is (E).