en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

The sum of three consecutive odd integers is 105. What are the three numbers? List the numbers in order from least to greatest.

Solution

The sum of three consecutive odd integers is 105. What are the three numbers? List the numbers in order from least to greatest.

Solution

The largest number : 37

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

A.T.Q.:

x + x + 2 + x + 4 = 105

Solve

x + x + 2 + x + 4 = 105 : x = 33

x + 2 = 33 + 2 = 35

x + 4 = 33 + 4 = 37

Select the largest solution:

37

The largest number : 37

Popular Examples

Find two consecutive odd integers such that the sum of the smaller and 3 times the larger is 330 Two motorcycles leave home at the same time, heading directly toward each other. They are a total of 300 miles apart. The first motorcycle travels at 65 miles per hour. The second motorcycle travels at 85 miles per hour. How long will it take for the two motorcycles to meet?Find three consecutive numbers whose sum is 84 A pair of jeans at the mall regularly costs 60. There is a sale marking down the price by 30%.What is the sale price of the jeans in dollars and cents?Callie backstrokes at an average velocity of 8 meters per second, how long will it take her to complete the race of 200 meters length?