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Tanya's grandfather was 8 times older to her 16 years ago . He would bi 3 times of her age 8 years from now . Eight years ago, what was the ratio of Tanya's age to that of her grandfather ?

Tanya's grandfather was 8 times older to her 16 years ago . He would bi 3 times of her age 8 years from now . Eight years ago, what was the ratio of Tanya's age to that of her grandfather ? Correct Answer None of these

Let, Tanya's age 16 years ago be x, So grandfather's age 16 years ago = 8x. 8 years from now grandfather is three times of her age = > 3(x + 16 + 8) = (8x + 16 + 8) = > 3(x + 24) = (8x + 24) = > 3x + 72 = 8x + 24 = > 5x = 48 = > x = 48/5 8 years ago ,the ratio was: x + 8)/(8x + 8) = 48/5 + 8/8*48/5 + 5 = 48 + 40/384 + 40 = 88/424 = 11/53 Therefore, the ratio of tanya's age to that of her grandfather = 11:53

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