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The sum of 3 consecutive even numbers is 270

What is the first number in this sequence?

 Oct 30, 2020
 #1
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Just divide 270 / 3 =90 - this is the "average" of the 3 numbers. So, the first number is:90 - 1 =89, and the 2nd number is:90, and the 3rd number is: 90 + 1 =91. So: 89 + 90 + 91 =270.

 Oct 30, 2020
 #2
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The sum of 3 consecutive even numbers is 270  

What is the first number in this sequence?    

 

The first guest showed you the way I would have done it. 

But just for grins, here's another way to do it:  

 

Let x        =  the first number  

Let x + 1  =  the second number  

Let x + 2  =  the third number  

 

So,      x + (x + 1) + (x + 2)  =  270 

 

                               3x + 3  =  270  

 

                                     3x  =  267  

 

                                        x  =  89  

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 Oct 30, 2020
 #3
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+1

Three consecutive EVEN numbers

 

x = first one

x+2 = second one

x+4 = third one

 

x +   x+2    +    x+4 = 270

3x + 6 = 270

3x = 264

x = 264/3 = 88         88   90   and 92

 Oct 31, 2020
 #4
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omg, hanging my head in shame ... thanks for catching that.  Ron  

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Guest Oct 31, 2020

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