SOLUTION: anthony is 50 years older than his grandson. 20 years ago, anthony was six times as old as his grandson. what are their present ages?

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Question 1059292: anthony is 50 years older than his grandson. 20 years ago, anthony was six times as old as his grandson. what are their present ages?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Anthony's age now
Let +b+ = his grandson's age now
-----------------------------------
(1) +a+=+b+%2B+50+
(2) +a+-+20+=+6%2A%28+b+-+20+%29+
------------------------------
Plug (1) into (2)
(2) +b+%2B+50+-+20+=+6%2A%28+b+-+20+%29+
(2) +b+%2B+30+=+6b+-+120+
(2) +5b+=+150+
(2) +b+=+30+
and
(1) +a+=+b+%2B+50+
(1) +a+=+30+%2B+50+
(1) +a+=+80+
-----------------------
Anthony is 80
His grandson is 30
-----------------------
check:
(2) +a+-+20+=+6%2A%28+b+-+20+%29+
(2) +80+-+20+=+6%2A%28+30+-+20+%29+
(2) +60+=+6%2A10+
(2) +60+=+60+
OK