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20 December, 01:55

In 2073 BS father's age was 7 times his daughter devyani's age. In 2081 BS father's age will be 3 times only his daughter's age. Find the birth date year of Devyani?

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  1. 20 December, 01:56
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    2069.

    Step-by-step explanation:

    Let Devyani's age in 2073 = x years and y be her fathers age Then:

    y = 7x

    - and in 8 years time (2081) we have:

    y + 8 = 3 (x + 8)

    y = 3x + 24 - 8

    y = 3x + 16. Eliminating y from the 2 equations:

    7x = 3x + 16

    4x = 16

    x = 4.

    So in 2073 she was 4 years old

    Therefore she was born in 2069.
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