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10 passengers travelling in a flight had an average age of 32 years. L
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30 Jul 2023, 23:38
30 Jul 2023, 23:38
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10 passengers travelling in a flight had an average age of 32 years. Later it was found that age of a person was wrongly taken as 36 while computing. After using the correct values, the average changed to 31 years, the actual age of that person ? (in years)
A. 20
B. 24
C. 26
D. 28
E. 30
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A. 20
B. 24
C. 26
D. 28
E. 30
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Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
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Re: 10 passengers travelling in a flight had an average age of 32 years. L
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01 Aug 2023, 07:41
01 Aug 2023, 07:41
1
Expert Reply
To solve this problem, we can use the concept of the average age of passengers before and after the correction of the wrongly computed age. Let's denote the actual age of the person in question as "x" (in years).
Before correction:
The average age of 10 passengers was 32 years. So, the sum of their ages before the correction is 10 * 32 = 320.
After correction:
The average age changed to 31 years after using the correct values. So, the sum of their ages after the correction is 10 * 31 = 310.
Now, we can find the difference between the sum of their ages before and after the correction, which should be equal to the difference caused by the wrongly computed age of 36 (since the value was mistakenly added once and subtracted once):
Difference = (Sum of ages before correction) - (Sum of ages after correction)
Difference = 320 - 310 = 10
Since the person's age was taken as 36 instead of the actual age "x," the difference of 10 years means that 36 - x = 10. Now, let's solve for "x":
x = 36 - 10
x = 26
So, the actual age of the person in question is 26 years.
Therefore, the correct answer is option C: 26.
Before correction:
The average age of 10 passengers was 32 years. So, the sum of their ages before the correction is 10 * 32 = 320.
After correction:
The average age changed to 31 years after using the correct values. So, the sum of their ages after the correction is 10 * 31 = 310.
Now, we can find the difference between the sum of their ages before and after the correction, which should be equal to the difference caused by the wrongly computed age of 36 (since the value was mistakenly added once and subtracted once):
Difference = (Sum of ages before correction) - (Sum of ages after correction)
Difference = 320 - 310 = 10
Since the person's age was taken as 36 instead of the actual age "x," the difference of 10 years means that 36 - x = 10. Now, let's solve for "x":
x = 36 - 10
x = 26
So, the actual age of the person in question is 26 years.
Therefore, the correct answer is option C: 26.
gmatclubot
Re: 10 passengers travelling in a flight had an average age of 32 years. L [#permalink]
01 Aug 2023, 07:41
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