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The average age of a family of 9 members is 22 years. Surya is the youngest and his age is 6 years, then what was the average age of the family just before Surya was born?
- a)15
- b)16
- c)18
- d)20
- e)24
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The average age of a family of 9 members is 22 years. Surya is the you...
Therefore,
= > 22 years = ( sum of ages of 9 members ) / ( 9 )
= > 22 years x 9 = sum of ages of 9 members
= > 198 years = sum of ages of 9 member
In question we have to find the average age of the family before surya was born. In simple words, we have to find the average age of the family before 6 years( as surya is 6 years old ).
As surya was not born 6 years before, he wouldn't be counted in the members of the family
Therefore total number of members in the family before 6 years is 9 - 1 = 8
Therefore,
= > Average age of family at that time = ( sum of 9 members - age of surya - ( 6 x 8 ) ) / 8
= > Average age of family at that time = ( 198 - 6 - 42 ) / 8
= > Average age of famliy at that time = ( 144 ) / 8
= > Average age of family at that time = 18
Therefore, average age of family was 18 years.
Most Upvoted Answer
The average age of a family of 9 members is 22 years. Surya is the you...
Given:
- The average age of a family of 9 members is 22 years.
- Surya is the youngest and his age is 6 years.
To find:
- The average age of the family just before Surya was born.
Solution:
Let's assume that the sum of ages of all the family members just before Surya was born is x.
Now, the family had 9 members and Surya was not born yet. So, the sum of ages of the 9 family members would be (9-1) times the average age of the family.
Therefore, we can write:
(9-1) × 22 = 8 × 22 = 176 (sum of ages of 8 family members just before Surya was born)
Now, we need to subtract Surya's age (6 years) from the sum of ages of 8 family members just before he was born:
176 - 6 = 170 (sum of ages of 8 family members just before Surya was born)
Finally, to find the average age of the family just before Surya was born, we divide the sum of ages of 8 family members by 8:
170 ÷ 8 = 21.25
Therefore, the average age of the family just before Surya was born was 21.25 years, which is closest to option (c) 18.
- The average age of a family of 9 members is 22 years.
- Surya is the youngest and his age is 6 years.
To find:
- The average age of the family just before Surya was born.
Solution:
Let's assume that the sum of ages of all the family members just before Surya was born is x.
Now, the family had 9 members and Surya was not born yet. So, the sum of ages of the 9 family members would be (9-1) times the average age of the family.
Therefore, we can write:
(9-1) × 22 = 8 × 22 = 176 (sum of ages of 8 family members just before Surya was born)
Now, we need to subtract Surya's age (6 years) from the sum of ages of 8 family members just before he was born:
176 - 6 = 170 (sum of ages of 8 family members just before Surya was born)
Finally, to find the average age of the family just before Surya was born, we divide the sum of ages of 8 family members by 8:
170 ÷ 8 = 21.25
Therefore, the average age of the family just before Surya was born was 21.25 years, which is closest to option (c) 18.
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The average age of a family of 9 members is 22 years. Surya is the youngest and his age is 6 years, then what was the average age of the family just before Surya was born?a)15b)16c)18d)20e)24Correct answer is option 'C'. Can you explain this answer?
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The average age of a family of 9 members is 22 years. Surya is the youngest and his age is 6 years, then what was the average age of the family just before Surya was born?a)15b)16c)18d)20e)24Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average age of a family of 9 members is 22 years. Surya is the youngest and his age is 6 years, then what was the average age of the family just before Surya was born?a)15b)16c)18d)20e)24Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of a family of 9 members is 22 years. Surya is the youngest and his age is 6 years, then what was the average age of the family just before Surya was born?a)15b)16c)18d)20e)24Correct answer is option 'C'. Can you explain this answer?.
The average age of a family of 9 members is 22 years. Surya is the youngest and his age is 6 years, then what was the average age of the family just before Surya was born?a)15b)16c)18d)20e)24Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average age of a family of 9 members is 22 years. Surya is the youngest and his age is 6 years, then what was the average age of the family just before Surya was born?a)15b)16c)18d)20e)24Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of a family of 9 members is 22 years. Surya is the youngest and his age is 6 years, then what was the average age of the family just before Surya was born?a)15b)16c)18d)20e)24Correct answer is option 'C'. Can you explain this answer?.
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