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Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year. The current average age of this eight-member joint family is nearest to
  • a)
    23 years
  • b)
    22 years
  • c)
    21 years
  • d)
    24 years
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Ten years ago, the ages of the members of a joint family of eight peop...
Ten years ago, the total age of the family is 231 years.Seven years ago, (Just before the death of the first person), the total age of the family would have been 231+8*3 = 231+24 = 255.After the death of one member and the birth of a child, the total age is 195 years.Four years ago, after the death of one member and birth of another child, the total age of the family is 195+24-60 = 159 years.The current total age of the family is = 8×4 + 159 = 191 yearsThe average age is 191/8 = 23.875 years = 24 years (approx)
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Ten years ago, the ages of the members of a joint family of eight peop...
Given Information:
- Ten years ago, the ages of the members of a joint family of eight people added up to 231 years.
- Three years later, one member died at the age of 60 years and a child was born during the same year.
- After another three years, one more member died, again at 60, and a child was born during the same year.

Calculating the Initial Total Age:
Let's assume the sum of the ages of the family members ten years ago was X.

- X = sum of ages of the family members 10 years ago
- X = a1 + a2 + a3 + a4 + a5 + a6 + a7 + a8 (where a1, a2, ..., a8 are the ages of the family members ten years ago)

We are given that the sum of the ages ten years ago was 231 years. Therefore, we can write the equation as:

- X = 231

Calculating the Current Total Age:
- After ten years, each family member has aged by ten years. So, the sum of their ages currently is X + 10 * 8 = X + 80.

Calculating the Deaths and Births:
- After three years, one member died at the age of 60 years. So, the sum of the ages decreases by 60.
- A child was born during the same year. So, the sum of the ages increases by 0 (as the child has an age of 0).
- After another three years, one more member died at the age of 60 years. So, the sum of the ages decreases by 60.
- Another child was born during the same year. So, the sum of the ages increases by 0.

Therefore, the current sum of the ages can be calculated as:

- X + 80 - 60 + 0 - 60 + 0 = X - 40

Calculating the Average Age:
The current average age of the family members can be calculated by dividing the sum of the ages by the number of members (which is still 8):

- Average Age = (X - 40) / 8

Calculating the Value of X:
Now, let's use the information given that the current average age is nearest to 24 years to calculate the value of X.

- (X - 40) / 8 ≈ 24

Solving this equation, we get:

- X - 40 ≈ 24 * 8
- X - 40 ≈ 192
- X ≈ 232

Therefore, the sum of the ages of the family members ten years ago was approximately 232 years.

Calculating the Current Average Age:
Plugging the value of X in the equation for the current average age:

- Average Age = (232 - 40) / 8
- Average Age = 192 / 8
- Average Age = 24

Therefore, the current average age of this eight-member joint family is nearest to 24 years (option D).
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Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year. The current average age of this eight-member joint family is nearest toa)23 yearsb)22 yearsc)21 yearsd)24 yearsCorrect answer is option 'D'. Can you explain this answer?
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Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year. The current average age of this eight-member joint family is nearest toa)23 yearsb)22 yearsc)21 yearsd)24 yearsCorrect answer is option 'D'. Can you explain this answer? for Humanities/Arts 2024 is part of Humanities/Arts preparation. The Question and answers have been prepared according to the Humanities/Arts exam syllabus. Information about Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year. The current average age of this eight-member joint family is nearest toa)23 yearsb)22 yearsc)21 yearsd)24 yearsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Humanities/Arts 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year. The current average age of this eight-member joint family is nearest toa)23 yearsb)22 yearsc)21 yearsd)24 yearsCorrect answer is option 'D'. Can you explain this answer?.
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