SOLUTION: In a family, a couple has a son and a daughter. The age of the father is four times that of his daughter and the age of the son is half of that of his mother. The wife is 8 years

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Question 929761: In a family, a couple has a son and a daughter. The age of the father is four times that of his daughter and the age of the son is half of that of his mother. The wife is 8 years younger to her husband and the brother is seven years older than his sister. What is the age of the mother?
Answer by ptfile(81) About Me  (Show Source):
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The age of the father is four times that of his daughter.
f=4s
the age of the son is half of that of his mother.
b=1/2m or m=2b
brother is seven years older than his sister.
b=s+7
The wife is 8 years younger to her husband.
f=m+8 or 4s=2(s+7)+8
4s=2(s+7)+8
4s=2s+14+8
4s=2s+22
2s=22
s=11
b=18
m=36
f=44
The wife's age is 36 years old.