SOLUTION: A mother is 15 years older than twice her daughter's age. if the difference of their ages is 32, how old is each person?

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Question 913039: A mother is 15 years older than twice her daughter's age. if the difference of their ages is 32, how old is each person?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +m+%7D%7D%5D+=+mother%27s+age%0D%0ALet+%7B%7B%7B+d+ = daughter's age
------------------------
(1) +m+=+2d+%2B+15+
(2) +m+=+d+%2B+32+
--------------------
By substitution:
(1) +d+%2B+32+=+2d+%2B+15+
(1) +d+=+32+-+15+
(1) +d+=+17+
and
(2) +m+=+d+%2B+32+
(2) +m+=+49+
---------------
The mother is 49 and the daughter is 17
check:
(1) +m+=+2d+%2B+15+
(1) +49+=+2%2A17+%2B+15+
(1) +49+=+34+%2B+15+
(1) +49+=+49+
OK