Curious Number
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
The answer is 42857.
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1 solution
Lets solve it algebraically
1ABCDE = ABCDE + 100000
ABCDE1= 10*ABCDE +1
10(ABCDE) +1= 3{ (ABCDE) +100000}
Solving equation we get ABCDE = 42857