SOLUTION: The sum of the digits is 13. The digit in the thousandths place is 3 times the digit in the tens place. To the nearest ten, the number rounds to 30. The digit in the tenths plac

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Question 518174: The sum of the digits is 13.
The digit in the thousandths place is 3 times the digit in the tens place.
To the nearest ten, the number rounds to 30.
The digit in the tenths place is one more than the digit in the hundredths place.
What is the number?

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
The sum of the digits is 13.
The digit in the thousandths place is 3 times the digit in the tens place.
To the nearest ten, the number rounds to 30.
The digit in the tenths place is one more than the digit in the hundredths place.
What is the number?
A tens place is the largest place mentioned, and thousandths place
is the smallest place, so the number is a decimal of this form:

_ _ . _ _ _

To the nearest ten, the number rounds to 30.
So the number is either

2 9 . _ _ _     or  3 0 . _ _ _ 

The digit in the thousandths place is 3 times the digit in the tens place.
So it's either

2 9 . _ _ 6     or  3 0 . _ _ 9

The sum of the digits is 13.
The first one is ruled out since 2+9+6 = 17 which already too much

So it's

3 0 . _ _ 9

with sum of digits so far as 12 and so the two digits in the blank 
can only add to 1, so one of them is a 1 and the other is a 0.

The digit in the tenths place is one more than the digit in the hundredths
So the answer is

3 0 . 1 0 9
 
Edwin


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