The sum of three consecutive odd numbers equal 255. What are those three number?

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The sum of three consecutive odd numbers equal 255. What are those three number?

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Answer 1 · 2016-01-25T18:10:09

The numbers are
$83,85,87$

Explanation:

The three consecutive odd numbers can be denoted as :

$color(green)(x, x+2$ and $color(green)( x+4$

Adding the three numbers:

$x + x+2 + x+4 = 255$

$3x+6 = 255$

$3x = 255-6$

$3x = 249$

$x = 249/3$

$color(blue)(x = 83$

The numbers are

$x= 83$

$x+2 = 85$ , and

$x+4 = 87$

Answer 2 · 2016-01-25T18:15:33

Since the numbers are consecutive odd numbers, the relationship between the smallest number represented by x and the largest number would be x+ 4, since odd numbers each have a distance of 2 on the number line.

Explanation:

Assuming x represents the smallest number, x + 2 represents the middle number and x + 4 represents the largest number.

(x) + (x + 2) + (x + 4) = 255

3x + 6 = 255

3x = 249

x = $249/3$

x = 83.

The smallest number is 83. Therefore the numbers are 83, 85 and 87.

Practice exercises:

The sum of four consecutive even numbers is 516. Find the 4 numbers.

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The sum of three consecutive odd numbers equal 255. What are those three number?

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Explanation:

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