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The sum of three consecutive odd numbers is 38 more than the average of these numbers. what is the first of these numbers ?


Options:
A .  13
B .  17
C .  19
D .  Data inadequate
E .  None of these
Answer: Option B

Let the numbers be `x , x + 2 and x + 4`

Then `(x  + x + 2 + x + 4) -  ((x + x + 2 + x + 4))/(3)` =  38

or `(3x + 6) -  ((3x + 6))/(3)` =  38 or  `2(3x + 6)` = 114 or `6x = 102 or  x = 17`

So, first number = `x = 17.`




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