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

2 Answers
Jan 25, 2016

Answer:

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#

Jan 25, 2016

Answer:

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:

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

Hopefully you understand