Question 853349: How many two_digit whole numbers yield a remainder of 1 when divided by 10 and also yield a remainder of 1 when divided by 6?
A; none B one; C two;D three; E; Four
Answer by LinnW(1048)   (Show Source):
You can put this solution on YOUR website! First, let's look at numbers which when divided by 10 have a remainder of 1.
These would be (10+1),(20+1),(30+1),...
or 11,21,31...
Of these we want those numbers which when divided by 6 we have a remainder of 1.
If we consider the numbers divisible by 10 that are also divisible by 6
we will have what we want.
So which of
10,20,30,40,... are also divisible by 6
30,60 and 90 work
Notice that 31,61,and 91 give a remainder of 1 when divided by 6
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