Age Ratio

Tanya's grandfather was 8 times older to her 16 years ago. He would be three times of her age 8 years from now. Eight years ago what was ratio of Tanyas age to her grandfather?

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levteck

  • Sep 13th, 2010
 

at -16 the ratio is 8
at -8 the ratio is ?
at 0 the ratio is ?
at +8 the ratio is 3

so the ratio went down from 8 to 3 (5times)  in 3 period of 8 year.
i.e. every 8 year is goes down by 5/3

so after one period of 8 years it was 24/3 - 5/3  = 19/3  or 6.33

so 8 years ago he was 6.33 years older than her.

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