In a family,a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of his mother. The wife is $9$ years younger than her husband and the brother is $7$ years older than his sister. What is the age of the mother? (in years)

  • A
    $40$
  • B
    $45$
  • C
    $50$
  • D
    $60$

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