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Question

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).

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