   What was the ratio of Arve's age to that of her grandfather's age?

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Arve's grandfather was 5 times older to her 9 years ago.
He would be 2 times of her age 18 years from now.
12 years ago, what was the ratio of Arve's age to that of her grandfather's age? posted Aug 28

12 years ago Grandfather was 7 times older than Arve

G-9=5*(A-9) ---------> (1)
G+18= 2*(A+18) ---------> (2)
(A-12):(G-12)=?

(1) --> G=5A-36
(2) --> G=2A+18
5A-36=2A+18 --> A=18, G=54
(A-12):(G-12)=1:7 answer Aug 28

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