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The average of three numbers is 135. The largest number is 195 and the difference between the other two is 20. The smallest number is:
  • a)
    65
  • b)
    95
  • c)
    105
  • d)
    115
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The average of three numbers is 135. The largest number is 195 and th...
According to the question,
195+ x + x + 20 = 135 x 3
⟹ 2x + 215 = 405
⟹ 2x = 405 - 215 = 190
∴ x = 190/2 = 95
= smallest number
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Most Upvoted Answer
The average of three numbers is 135. The largest number is 195 and th...
Explanation:

Given:
- Average of three numbers = 135
- Largest number = 195
- Difference between the other two numbers = 20

Finding the sum of three numbers:
Let the three numbers be x, y, and z.
Given that the average of three numbers is 135, we have:
(x + y + z) / 3 = 135
x + y + z = 405

Finding the smallest number:
Given that the largest number is 195 and the difference between the other two numbers is 20, we can express the numbers as:
x + 20 + 195 = 405
x + 215 = 405
x = 405 - 215
x = 190
Therefore, the smallest number is 190.

Comparing with the options:
- 65 is less than 190
- 95 is equal to 190
- 105 is greater than 190
- 115 is greater than 190
Hence, the smallest number among the options is 95, which is the correct answer.
Therefore, the smallest number is 95.
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The average of three numbers is 135. The largest number is 195 and the difference between the other two is 20. The smallest number is:a)65b)95c)105d)115Correct answer is option 'B'. Can you explain this answer?
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