Question 1132599: How many 3 digit positive integers exist that when divided by 3 leave a reminder of 2?
9
8
27
40
Found 3 solutions by ikleyn, MathTherapy, MathLover1: Answer by ikleyn(52778) (Show Source):
You can put this solution on YOUR website! .
The ANSWER is 300, which is not in the list.
Solution
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.
Solved, answered, explained and completed.
Answer by MathTherapy(10552) (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?
9
8
27
40
From 101 to 998, and in INTERVALS of 3, there are:
Answer by MathLover1(20849) (Show Source):
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