SOLUTION: Zelma is eighteen years older than her son. She was three times as old as he was one year ago. How old are they now?

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Question 185280: Zelma is eighteen years older than her son. She was three times as old as he was one year ago. How old are they now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Z's age now = z
Son's age now = s
given:
(1) z+=+s+%2B+18
(2) z+-+1+=+3%2A%28s+-+1%29
Substitute (1) in (2)
(2) s+%2B+18+-+1+=+3%2A%28s+-+1%29
(2) s+%2B+17+=+3s+-+3
(2) 2s++=+20
(2) s+=+10
and
(1) z+=+10+%2B+18
(1) z+=+28
She is 28 and her Son is 10