The sum of three consecutive odd numbers is 20 more than the smallest of these numbers. What is the middle number?

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Solution

The correct option is B
9

Let the numbers be x, x+2 and x+4 Then, $x + (x + 2) + (x + 4) = x + 20 \Leftrightarrow 2 x = 14 \Leftrightarrow x = 7$ $∴ M i d d l e n u m b e r = x + 2 = 9.$

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The sum of three consecutive odd natural numbers is 38 more than the average of these numbers. What is the smallest of these numbers?

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