SOLUTION: The quotient of the ages of a mother and her daughter is 2 and a remainder of 5. Five years ago, mother was thrice as old as the daughter then. How old are they now?

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Question 243133: The quotient of the ages of a mother and her daughter is 2 and a remainder of 5. Five years ago, mother was thrice as old as the daughter then. How old are they now?
Answer by JimboP1977(311) About Me  (Show Source):
You can put this solution on YOUR website!
Mother Age = M Daughter Age = D
M%2FD+=+2+%2B+5%2FD which is the same as M%2FD+=+%282D%2B5%29%2FD
M+=+2D%2B5 (1)
M-5+=+3%28D-5%29
M-5+=+3D-15 (2)
Subsitute (1) into (2)
%282D%2B5%29-5+=+3D-15
Rearrange to find D
2D+=+3D-15
15+=+D
So the daughter is 15 and the mother is 35.