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Question 167065: A five digit number is represented by ABCDE where each letter represents a digit. If we add the digit 1 in front of ABCDE, we get 1ABCDE. The product of 1ABCDE and 3 is the six digit number ABCDE1. Find the value of the original number ABCDE
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! A five digit number is represented by ABCDE where each letter represents a digit.
:
If we add the digit 1 in front of ABCDE, we get 1ABCDE. The product of 1ABCDE
and 3 is the six digit number ABCDE1.
:
Find the value of the original number ABCDE
:
Starting from the right, side we know that E=7 because it's the only number
multiplied by 3 that will give last number as 1
:
We have:
1ABCD7
X 3
------
ABCD71; changed E to 7 here too
:
D = 5, multiplied 3, carry 2 to give us 17
we have
1ABC57
X 3
-------
ABC571; change D to 5 here too
:
C = 8, Multiplied by 3, carry 1 to give us 25
we have:
1AB857
X 3
--------
AB8571; change C to 8
:
B = 2, Multiplied by 3, carry 2, to give us 8
we have:
1A2857
X 3
-------
A28571; change B to 2
:
A = 4, multiplied by 3 gives 12
we have
142857
X 3
-----------
428571
:
ABCDE = 42857
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