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The average ages of three persons is 27 years. Their ages are in the proportion of 1:3:5. What is the age in years of the youngest one among them ?
- a)8
- b)6
- c)7
- d)9
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The average ages of three persons is 27 years. Their ages are in the p...
Let the age of three persons be x, 3x and 5x => 9x/3 = 27 = > x = 9
Most Upvoted Answer
The average ages of three persons is 27 years. Their ages are in the p...
Given:
The average ages of three persons is 27 years.
Their ages are in the proportion of 1:3:5.
To find:
The age in years of the youngest one among them.
Solution:
Let the ages of the three persons be x, 3x, and 5x.
According to the question,
(x + 3x + 5x)/3 = 27
9x/3 = 27
x = 9
Therefore, the ages of the three persons are 9, 27, and 45.
The age in years of the youngest one among them is 9.
Hence, the correct option is (D).
Note:
The sum of the ages of the three persons is 81 (9 + 27 + 45), which is 3 times the average age of 27.
The proportion of their ages is 1:3:5, which means that the ages are in the ratio of 1x : 3x : 5x.
We can solve the equation 9x/3 = 27 to find the value of x, which represents the common factor in the age ratio.
The average ages of three persons is 27 years.
Their ages are in the proportion of 1:3:5.
To find:
The age in years of the youngest one among them.
Solution:
Let the ages of the three persons be x, 3x, and 5x.
According to the question,
(x + 3x + 5x)/3 = 27
9x/3 = 27
x = 9
Therefore, the ages of the three persons are 9, 27, and 45.
The age in years of the youngest one among them is 9.
Hence, the correct option is (D).
Note:
The sum of the ages of the three persons is 81 (9 + 27 + 45), which is 3 times the average age of 27.
The proportion of their ages is 1:3:5, which means that the ages are in the ratio of 1x : 3x : 5x.
We can solve the equation 9x/3 = 27 to find the value of x, which represents the common factor in the age ratio.
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