Multiple choice

Amit selected three numbers randomly. He found that the average of three numbers is 32 , however he also noticed that if he increases the smaller number by 12 and reduce the largest number by 3 while the order remain same average becomes 5 less than the middle number , then find the middle number:

  1. 30

  2. 35

  3. 40

  4. 50
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the numbers be a, b, c. (a+b+c)/3 = 32 => a+b+c = 96. New average: (a+12 + b + c-3)/3 = b - 5. => a+b+c+9 = 3b - 15. => 96 + 9 = 3b - 15 => 105 + 15 = 3b => 120 = 3b => b = 40.

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