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What was the ratio of ages of Anchal and Neha 4 years ago if the present age of Neha is 24 years? Statement I: The difference of the ages of Neha and Anchal will be 6 years after 3 years. Statement II: After 12 years, the ratio of ages of Anchal and Neha will be 5 : 6.

What was the ratio of ages of Anchal and Neha 4 years ago if the present age of Neha is 24 years? Statement I: The difference of the ages of Neha and Anchal will be 6 years after 3 years. Statement II: After 12 years, the ratio of ages of Anchal and Neha will be 5 : 6. Correct Answer Statement II alone is sufficient to answer the question.

Present age of Neha = 24 years.

Statement I: 

The difference of the ages of Neha and Anchal will be 6 years after 3 years.

The difference of the ages will always remain same;

But we don't know who is elder. Hence, statement 1 is not sufficient.

Statement II:

After 12 years, the ratio of ages of Anchal and Neha will be 5 : 6.

Suppose present age of Anchal = x years

(x + 12) : (24 + 12) = 5 : 6

⇒ (x + 12) : 36 = 5 : 6

⇒ x = 18

So, present age of Anchal = 18 years

⇒ Ratio of ages of Anchal and Neha 4 years ago = 14 : 20 = 7 : 10

∴ Statement II alone is sufficient to answer the question.

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