SOLUTION: seven years ago, Ron was 6 times as old as Marie. 1 year from now he will be twice as old. How old are they?

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Question 1004844: seven years ago, Ron was 6 times as old as Marie. 1 year from now he will be twice as old. How old are they?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let their ages now be R and M
You are told
R-7+=+6%2A%28M-7%29
R+-+7+=+6M+-+42
R+=+6M+-+35
You are also told
R%2B1+=+2%2A%28M%2B1%29
R+%2B+1+=+2M+%2B+2
R+=+2M+%2B+1
Since R = R, then
6M+-35+=+2M+%2B+1
4M+=+36
M+=+9
If she is 9 then he must be 2*9 + 1 = 19