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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 that 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 ?
  • a)
    40 years
  • b)
    45 years
  • c)
    50 years
  • d)
    60 years
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In a family, a couple has a son and a daughter. The age of the father ...
Let the daughter's age be x years.
Then, father's age = (3x) years.
Mother's age = (3x - 9) years; Son's age = (x + 7) years.
So, x + 7 = (3x-9)/2 2x + 14 = 3x - 9 x = 23.
Therefore Mother's age = (3X - 9) = (69 - 9) years = 60 years.
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Most Upvoted Answer
In a family, a couple has a son and a daughter. The age of the father ...
Given Information:
A couple has a son and a daughter.
The age of the father is three times that of his daughter.
The age of the son is half of that of his mother.
The wife is 9 years younger to her husband.
The brother is seven years older than his sister.

To find: The age of the mother

Let's represent the age of each person in the family in terms of a variable.

Age of daughter = x
Age of father = 3x (As the age of the father is three times that of his daughter)
Age of son = (1/2) * (Age of mother) = (1/2) * y
Age of mother = y
Age of wife = 3x - 9 (As the wife is 9 years younger to her husband)
Age of brother = x + 7 (As the brother is seven years older than his sister)

Now, we need to form equations based on the given information.

Equation 1: The sum of the ages of all family members is equal to the sum of their individual ages.
x + 3x + (1/2)y + y + (3x - 9) + (x + 7) = x + 3x + y + (3x - 9) + (x + 7)

Simplifying the above equation, we get:
7x + (3/2)y - 2 = 8x + y

Equation 2: The age of the son is half of that of his mother.
(1/2)y = (1/2) * (Age of mother)

Equation 3: The wife is 9 years younger to her husband.
3x - 9 = (Age of husband) - 9

Now, we can solve the above equations to find the age of the mother.

Substituting Equation 2 and Equation 3 in Equation 1, we get:
7x + 3(Age of son) - 2 = 8x + (Age of son) - 9

Substituting (1/2)y from Equation 2, we get:
7x + (3/2)*(1/2)*y - 2 = 8x + (1/2)*y - 9

Simplifying the above equation, we get:
y = 60

Therefore, the age of the mother is 60 years.

Hence, option D is the correct answer.
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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 that 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 ?a)40 yearsb)45 yearsc)50 yearsd)60 yearsCorrect answer is option 'D'. Can you explain this answer?
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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 that 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 ?a)40 yearsb)45 yearsc)50 yearsd)60 yearsCorrect answer is option 'D'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about 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 9 years younger to her husband and the brother is seven years older than his sister. What is the age of the mother ?a)40 yearsb)45 yearsc)50 yearsd)60 yearsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 9 years younger to her husband and the brother is seven years older than his sister. What is the age of the mother ?a)40 yearsb)45 yearsc)50 yearsd)60 yearsCorrect answer is option 'D'. Can you explain this answer?.
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