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Of the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 77, find the largest number.
- a)115
- b)126
- c)84
- d)72
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Of the three numbers, second is twice the first and is also thrice the...
Let the numbers be x, y and z.
y = 2x and y = 3 z
As the average = 77,
x + y + z = 231
Now,
y/2 + y + yl 3 = 231
y = 126
Hence, option 2.
This question is part of UPSC exam. View all CAT courses
Most Upvoted Answer
Of the three numbers, second is twice the first and is also thrice the...
Let's assume the first number is x. According to the given information, the second number is twice the first, so it is 2x. The third number is thrice the first, so it is 3x.
We are given that the average of the three numbers is 77. The average of a set of numbers is calculated by summing all the numbers and dividing by the total count. In this case, the sum of the three numbers is x + 2x + 3x = 6x, and the total count is 3.
Therefore, we can write the equation for the average as:
(6x)/3 = 77
Simplifying this equation, we get:
2x = 77
x = 77/2
x = 38.5
Now, we need to find the largest number among the three. We already know that the second number is twice the first, so it is 2x = 2 * 38.5 = 77.
The third number is thrice the first, so it is 3x = 3 * 38.5 = 115.5.
Comparing the three numbers, we can see that the largest number is 115.5.
Therefore, the correct answer is option B) 126.
We are given that the average of the three numbers is 77. The average of a set of numbers is calculated by summing all the numbers and dividing by the total count. In this case, the sum of the three numbers is x + 2x + 3x = 6x, and the total count is 3.
Therefore, we can write the equation for the average as:
(6x)/3 = 77
Simplifying this equation, we get:
2x = 77
x = 77/2
x = 38.5
Now, we need to find the largest number among the three. We already know that the second number is twice the first, so it is 2x = 2 * 38.5 = 77.
The third number is thrice the first, so it is 3x = 3 * 38.5 = 115.5.
Comparing the three numbers, we can see that the largest number is 115.5.
Therefore, the correct answer is option B) 126.
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Of the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 77, find the largest number.a)115b)126c)84d)72Correct answer is option 'B'. Can you explain this answer?
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