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The ratio of the current ages of Ajay and Vijay is 7:4. The ratio between Ajay's age 6 years ago and Vijay's age 6 years from now is 1:1. Find the ratio between Ajay's age after 12 years  and Vijay's age 12 years ago.

a

12:1

b

10:1

c

1:1

d

None of these

correct answer b

Let the current age of Ajay and Vijay be 7x and 4x respectively.

`(7x – 6) / (4x + 6) = 1/1`

7x – 6 = 4x + 6
3x = 12
x = 4
Therefore, `(7x + 12) / (4x – 12) = (7**4 + 12) / (4 ** 4 -12) = 40/4 = 10/1`

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