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Tanya’s grandfather was 8 times older to her 16 years ago. He would be 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?

A. 

11:45

B. 

11:35

C. 

11.53

D. 

12:35

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Answer with explanation

Answer: Option B

Explanation

Let, Tanya age 16 years ago = x,
Grandfather’s age 16 years ago = 8x.

8 years from now, 3(x+16+8) = (8x+16+8)
=> x = 48/5

8 years ago Ratio was:
=> x + 8 / 8x + 8
=> 48 / 5 +( 8 ) / 8 * (48 / 5 ) + 8
=> 88 / 424
=> 11 / 53
the correct answer is 11 / 53=11:53

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