Question 287779: Mr. Parabol, a mathematics teacher was traveling by bus with his family consisting of his mother,wife,son,and daughter. The bus conductor doubting the son's right to have a half-fare ticket asked, How old is your daughter?Mr.Parabola, irritated at having his honesty questioned,confused the conductor with his answer: my daughter is twice as old as my son. My wife is three times as old as the sum of the ages of my son and daughter, and iam as old as my wife and daughter. My mother whose age is the total of all our ages is now 69. can you help the conductor in finding the age of the girl?
Found 2 solutions by richwmiller, ankor@dixie-net.com:
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! d=2s
w=3*(s+d)
f=w+d
m=69
m=f+w+s+d
Was the driver blind? or the son gigantic for his age?
d = 6, f = 33, m = 69, s = 3, w = 27
Did you confuse son and daughter in the description?
If the driver was challenging the son 's age, why did he ask about the daughter?
Answer by ankor@dixie-net.com(22740)  (Show Source):
You can put this solution on YOUR website! Mr. Parabol, a mathematics teacher was traveling by bus with his family consisting of his mother,wife,son,and daughter. The bus conductor doubting the
son's right to have a half-fare ticket asked, How old is your daughter?
Mr.Parabola, irritated at having his honesty questioned,confused the conductor with his answer:
my daughter is twice as old as my son. My wife is three times as old as the
sum of the ages of my son and daughter, and iam as old as my wife and daughter.
My mother whose age is the total of all our ages is now 69.
can you help the conductor in finding the age of the girl?
:
"my daughter is twice as old as my son."
d = 2s
:
"My wife is three times as old as the sum of the ages of my son and daughter,"
w = 3(s+d)
w = 3s + 3d
Replace d with 2s
w = 3s + 3(2s)
w = 3s + 6s
w = 9s
:
"I (p) am as old as my wife and daughter."
P = w + d
Replace d with 2s
p = w + 2s
Replace w with 9s
p = 9s + 2s
p = 11s
:
"My mother whose age is the total of all our ages is now 69."
p + w + d + s = 69
Replace p, w, d, from the above equations
11s + 9s + 2s + s = 69
23s = 69
s = 
s = 3 yrs old is the son
then
2(3) = 6 yrs old is the daughter
:
can you help the conductor in finding the age of the girl?
:
Check solution
11(3) + 9(3) + 2(3) + 3 =
33 + 27 + 6 + 3 = 69
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