Question 17

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

Name: The sum of three consecutive odd numbers is 20 more than the first number. What is the middle number ?
Uploaded: March 25, 2021, 9:42 a.m.
Duration: 57 s
Description: 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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The sum of three consecutive odd numbers is 20 more than the first number. What is the middle number ?

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