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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 the...
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 the...
Solution:

Given, the average of three numbers is 135.

Let the three numbers be a, b, and c.

Therefore, (a + b + c)/3 = 135

a + b + c = 405 ------(1)

Given, the largest number is 195.

Therefore, c = 195

Given, the difference between the other two numbers is 20.

Therefore, b - a = 20

b = a + 20

Substituting the value of c and b in equation (1), we get

a + (a + 20) + 195 = 405

2a + 215 = 405

2a = 190

a = 95

Therefore, the smallest number is 95.

Hence, the correct option is (B).
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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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