In all, there are 900 three-digit positive integer numbers from 100 to 999.


Every third of them gives a reminder of 2 when is divided by 3.


They are the numbers 


     101, 104, 107, . . . , 998.


They form an arithmetic progression with the common difference of 3.

From 101 to 998, and in INTERVALS of 3, there are:  

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
 



How many 3 digit positive integers exist that when divided by 3 leave a reminder of 2?



Least 3 digit number is .



Since divisor is , & remainder 



.





next number will be  



next will be  

 

the last  digit number leaving remainder, while dividing by  is 



Sequence : , ,,.......,

common difference: 



use nth term formula:







where = 1st term, = common difference, & is the term



=> 



=> 



=> 



=> 



=> 



So, there are  such numbers ………..ANS



 

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