Monday, September 11, 2017

What three consecutive numbers add up to 93? Is there a method to find them?

To solve this, assume that the three consecutive numbers are all integers. Then, assign a variable that represents the first integer.  Let it be x.  So the next two integers are x+1 and x+2.


Then, add these three integers and set it equal to the given sum.


`x + (x+1)+(x+2)=93`


And solve for x.


`3x+3=93`


`3x=93-3`


`3x=90`


`x=90/3`


`x=30`


This is the first integer. The other two integers are:


second integer `= x + 1...

To solve this, assume that the three consecutive numbers are all integers. Then, assign a variable that represents the first integer.  Let it be x.  So the next two integers are x+1 and x+2.


Then, add these three integers and set it equal to the given sum.


`x + (x+1)+(x+2)=93`


And solve for x.


`3x+3=93`


`3x=93-3`


`3x=90`


`x=90/3`


`x=30`


This is the first integer. The other two integers are:


second integer `= x + 1 = 30+1 = 31`


third integer `= x+2=30+2=32`



Therefore, the three consecutive numbers that add up to 93 are 30, 31 and 32.

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