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Question 17
The sum of three consecutive odd numbers is 20 more than the first number. What is the middle number ?
Solution
Let the three consecutive odd numbers be 'x-2', 'x' and 'x+2'
Given the sum of three consecutive odd numbers is 20 more than the first number
$$\Rightarrow$$ x-2 + x + x+2 = 20 + x-2
$$\Rightarrow$$ 2x = 18
$$\Rightarrow$$ x = 9
Therefore the three consecutive odd numbers are 7,9 and 11.
The middle number is 9.
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