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  1. 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
    1. 65
    2. 95
    3. 105
    4. 115
Correct Option: B

According to the question,
Sum of numbers = Average × Total number of terms
195 + y + ( y + 20 ) = 135 × 3
⇒ 2y + 215 = 405
⇒ 2y = 405 – 215 = 190

∴ y =
190
= 95
2

Required Smallest number is 95.



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