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The average age of a family of five members is 24. If the present age of the youngest member is 8 year, what was the average age of the family at the time of birth of youngest member?a)16 yearsb)20 yearsc)18 yearsd)14 years?
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The average age of a family of five members is 24. If the present age ...
Given information:
- The family has 5 members.
- The current age of the youngest member is 8 years.
- The current average age of the family is 24 years.
To find:
- The average age of the family at the time of birth of the youngest member.
Solution:
Let's denote the current ages of the other four members as x1, x2, x3, and x4.
Then, we can write the following equation based on the given information:
(8 + x1 + x2 + x3 + x4) / 5 = 24
Simplifying the above equation, we get:
8 + x1 + x2 + x3 + x4 = 120
Now, let's consider the sum of ages of all the family members at the time of birth of the youngest member as S.
Then, we can write the following equation:
S / 5 = (8 + S - y) / 5 + y
where y is the age of the youngest member at the time of birth.
Simplifying the above equation, we get:
S = 40 + 4y
Now, we need to find the value of S/5, which represents the average age of the family at the time of birth of the youngest member.
Substituting the value of S from the above equation, we get:
S/5 = (40 + 4y) / 5
S/5 = 8 + 0.8y
Substituting the value of y = 0 (since we need to find the average age at the time of birth of the youngest member), we get:
S/5 = 8
Therefore, the average age of the family at the time of birth of the youngest member was 8 x 5 = 40 years.
Answer: (c) 18 years
- The family has 5 members.
- The current age of the youngest member is 8 years.
- The current average age of the family is 24 years.
To find:
- The average age of the family at the time of birth of the youngest member.
Solution:
Let's denote the current ages of the other four members as x1, x2, x3, and x4.
Then, we can write the following equation based on the given information:
(8 + x1 + x2 + x3 + x4) / 5 = 24
Simplifying the above equation, we get:
8 + x1 + x2 + x3 + x4 = 120
Now, let's consider the sum of ages of all the family members at the time of birth of the youngest member as S.
Then, we can write the following equation:
S / 5 = (8 + S - y) / 5 + y
where y is the age of the youngest member at the time of birth.
Simplifying the above equation, we get:
S = 40 + 4y
Now, we need to find the value of S/5, which represents the average age of the family at the time of birth of the youngest member.
Substituting the value of S from the above equation, we get:
S/5 = (40 + 4y) / 5
S/5 = 8 + 0.8y
Substituting the value of y = 0 (since we need to find the average age at the time of birth of the youngest member), we get:
S/5 = 8
Therefore, the average age of the family at the time of birth of the youngest member was 8 x 5 = 40 years.
Answer: (c) 18 years
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The average age of a family of five members is 24. If the present age ...
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The average age of a family of five members is 24. If the present age of the youngest member is 8 year, what was the average age of the family at the time of birth of youngest member?a)16 yearsb)20 yearsc)18 yearsd)14 years?
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The average age of a family of five members is 24. If the present age of the youngest member is 8 year, what was the average age of the family at the time of birth of youngest member?a)16 yearsb)20 yearsc)18 yearsd)14 years? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The average age of a family of five members is 24. If the present age of the youngest member is 8 year, what was the average age of the family at the time of birth of youngest member?a)16 yearsb)20 yearsc)18 yearsd)14 years? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of a family of five members is 24. If the present age of the youngest member is 8 year, what was the average age of the family at the time of birth of youngest member?a)16 yearsb)20 yearsc)18 yearsd)14 years?.
The average age of a family of five members is 24. If the present age of the youngest member is 8 year, what was the average age of the family at the time of birth of youngest member?a)16 yearsb)20 yearsc)18 yearsd)14 years? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The average age of a family of five members is 24. If the present age of the youngest member is 8 year, what was the average age of the family at the time of birth of youngest member?a)16 yearsb)20 yearsc)18 yearsd)14 years? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of a family of five members is 24. If the present age of the youngest member is 8 year, what was the average age of the family at the time of birth of youngest member?a)16 yearsb)20 yearsc)18 yearsd)14 years?.
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