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 to her husband and the brother is seven years older than his sister. What is the age of the mother?

40

years

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50

years

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45

years

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60

years

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Solution

The correct option is C $60$ years
Let daughter's age = $x$ years
Let Father's age = $3 x$ years
Mother's age = $3 x - 9$ years
Son's age = $x + 7$ years
Thus, $x + 7 = \frac{3 x - 9}{2}$
$2 x + 14 = 3 x - 9$
$x = 23$
Thus, mother's age = $3 x - 9 = 3 \times 23 - 9 = 60$ years.

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Similar questions

Q. 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 that of his mother. The wife is

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years younger to her husband and the brother is seven years older than his sister. What is the age of the mother?

Q73. 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 nine years younger to her husband and the brother is seven years older than his sister. What is the age of the mother?

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Q. What is the present age of son ?
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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 to her husband and the brother is seven years older than his sister. What is the age of the mother?

The correct option is C 60 yearsLet daughter's age = x yearsLet Father's age = 3x yearsMother's age = 3x−9 yearsSon's age = x+7 yearsThus, x+7=3x−922x+14=3x−9x=23Thus, mother's age = 3x−9=3×23−9=60 years.

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 to her husband and the brother is seven years older than his sister. What is the age of the mother?

The correct option is C $60$ years
Let daughter's age = $x$ years
Let Father's age = $3 x$ years
Mother's age = $3 x - 9$ years
Son's age = $x + 7$ years
Thus, $x + 7 = \frac{3 x - 9}{2}$
$2 x + 14 = 3 x - 9$
$x = 23$
Thus, mother's age = $3 x - 9 = 3 \times 23 - 9 = 60$ years.