SOLUTION: my 3 digit number has a 4 in the hundreds place. it has a greater digit in the tens place than in the ones place.the sum of the digits is 6 what is my number

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Question 668488: my 3 digit number has a 4 in the hundreds place. it has a greater digit in the tens place than in the ones place.the sum of the digits is 6 what is my number

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
my 3 digit number...
We are to fill in these three digits:

_ _ _


has a 4 in the hundreds place.
So we fill in the first digit as a 4

4 _ _


the sum of the digits is 6
Since the first digit is 4, the sum of the last
two digits must be 2.  So they can either be
two 1's or a 0 and a 2.

it has a greater digit in the tens place than in the ones place
That rules out two 1's.  So that means they are a 0 and a 2,
and since the tens digit is greater it must be the 2 and the
ones digit is the 0.  So the answer is:

4 2 0

Edwin

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