SOLUTION: A wealthy old man is criticized for marrying a woman for he is three times her age. He wittily replies, "Oh, but in 20 years time 2 shall only be twice her age." How old is the man

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Question 118343: A wealthy old man is criticized for marrying a woman for he is three times her age. He wittily replies, "Oh, but in 20 years time 2 shall only be twice her age." How old is the man and his wife?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A wealthy old man is criticized for marrying a woman for he is three times her age. He wittily replies, "Oh, but in 20 years time I shall only be twice her age." How old is the man and his wife?
:
Let m = old man's age
Let g = girl's age
:
"he is three times her age."
m = 3g
:
"In 20 years time I shall only be twice her age."
(m+20) = 2(g+20)
m + 20 = 2g + 40
m = 2g + 40 - 20
m = 2g + 20
:
"How old are they?"
Substitute 3g for m, find g
3g = 2g + 20
3g - 2g = 20
g = 20 yrs is the girls age
60 yrs is the old fart's age
:
:
Check solution: in 20 yrs he will be 80 and she will be 40