+0  
 
0
68
1
avatar+129 

The sum of 4 consecutive even integers is less than 192. What are the largest 4 integers that would work?

Mathisfornerds  Apr 12, 2018
 #1
avatar+86944 
+2

Let  x  be the first integer

x + 2  the second

x + 4 the third

x + 6  the fourth

 

So  we have

 

x  + (x + 2)  + ( x + 4) + ( x + 6)  < 192  simplify

 

4x + 12 <   192     subtract  12  from  both sides

 

4x < 180     divide both sides by  4

 

x < 45

 

So......the greatest even integer < 45  is 44

 

So...the four consecutive even integers   are  44  46   48   and 50

 

And their sum is 188

 

 

cool cool cool

CPhill  Apr 12, 2018

14 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.