SOLUTION: In three more years, Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's present age is added to his grandfather's present age, the total is 68. Ho

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Question 990763: In three more years, Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's present age is added to his grandfather's present age, the total is 68. How old is each one now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +m+ = Miguel's age now
Let +g+ = his grandfather's age now
-------------------
(1) +g+%2B+3+=+6%2A%28+m+-+1+%29+
(2) +m+%2B+g+=+68+
------------------------
(1) +g+%2B+3+=+6m+-+6+
(1) +6m+-+g+=+9+
------------------
Add (1) and (2)
+7m+=+77+
+m+=+11+
and
(2) +11+%2B+g+=+68+
(2) +g+=+68+-+11+
(2) +g+=+57+
---------------
Mioguel is 11 now
His grandfather is 57 now
----------------------
check:
(1) +g+%2B+3+=+6%2A%28+m+-+1+%29+
(1) +57+%2B+3+=+6%2A%28+11+-+1+%29+
(1) +60+=+6%2A10+
(1) +60+=+60+
OK