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Among the three number the first is thrice the third number and second number is half of the first number. If the average of the three number is 65.8 then find the third number
  • a)
    35.56
  • b)
    35.85
  • c)
    35.89
  • d)
    35.69
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Among the three number the first is thrice the third number and second...
Let third num = x, 1st numb = 3x, second no = 3x/2
[3x+(3x/2)+x] / 3 = 65.8
11x/2 = 197.4
X = (2X197.4) / 11 = 35.89
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Most Upvoted Answer
Among the three number the first is thrice the third number and second...
Given:
- The first number is thrice the third number.
- The second number is half of the first number.
- The average of the three numbers is 65.8.

To find:
The third number.

Solution:
Let the third number be x.
According to the given conditions,
The first number = 3x
The second number = (1/2)*(3x) = (3/2)x

Now, we can find the average of the three numbers:
(3x + (3/2)x + x)/3 = 65.8
(7.5x)/3 = 65.8
7.5x = 197.4
x = 26.32

Therefore, the third number is 26.32.
To verify, we can find the other two numbers:
The first number = 3x = 3*26.32 = 78.96
The second number = (3/2)x = (3/2)*26.32 = 39.48

And we can check that their average is indeed 65.8:
(78.96 + 39.48 + 26.32)/3 = 65.8

Therefore, the correct answer is option C, 35.89.
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Among the three number the first is thrice the third number and second number is half of the first number. If the average of the three number is 65.8 then find the third numbera)35.56b)35.85c)35.89d)35.69Correct answer is option 'C'. Can you explain this answer?
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