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Populaire Word Problems >

The sum of 5 consecutive integers is 120:What is the third number in this sequence?

Solution

T h e s u m o f 5 co n sec u t i v e in t e g ers i s 120 : Wha t i s t h e t hi r d n u mb er in t hi s se q u e n ce ?

Solution

The number : 24

étapes des solutions

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

Consecutive number 3 : x + 3

Consecutive number 4 : x + 4

A.T.Q.:

x + x + 1 + x + 2 + x + 3 + x + 4 = 120

Résoudre

x + x + 1 + x + 2 + x + 3 + x + 4 = 120 : x = 22

x + 1 = 22 + 1 = 23

x + 2 = 22 + 2 = 24

x + 3 = 22 + 3 = 25

x + 4 = 22 + 4 = 26

The number : 24

Exemples populaires

Alexa opened a savings account and deposited 800.00. The account earns 5% interest, compounded annually. If she wants to use the money to buy a new bicycle in 3 years, how much will she be able to spend on the bike?if man deposits 6000 in a bank account which pays 5 percent in a year. find the value of his deposit after 4 years Ayana puts 6,000.00 into an account to use for school expenses. The account earns 1% interest, compounded quarterly. How much will be in the account after 8 years?Lakeside had 380,440 residents at the time of its founding. Currently it is 10% smaller. What is the current population?Four times the sum of a number and 29 is at most 24.