en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

If the sum of six consecutive odd integers is 120, what is the smallest of the six integers?

Solution

If the sum of six consecutive odd integers is 120, what is the smallest of the six integers?

Solution

The smallest number : 15

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

Consecutive number 3 : x + 6

Consecutive number 4 : x + 8

Consecutive number 5 : x + 10

A.T.Q.:

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 120

Solve

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 120 : x = 15

x + 2 = 15 + 2 = 17

x + 4 = 15 + 4 = 19

x + 6 = 15 + 6 = 21

x + 8 = 15 + 8 = 23

x + 10 = 15 + 10 = 25

Select the smallest solution:

15

The smallest number : 15

Popular Examples

one number is 3 more than four times another number. If the sum of the numbers is 53, find both numbers.one number is 1 less than a second number. twice the second number is 7 less than 3 times the first. find the 2 numbers.The sum of three consecutive integers is 192 What are the integers?A number increased by 24 is 89. Find the number.The sum of Naruto’s and Sasuke’s ages is 18. In three years, Naruto will be twice as old as Sasuke. What are their ages now?