Q:
What 5 - digit number has the following features :
If we put the numeral 1 at the beginning, we get a number three times smaller than if we put the numeral 1 at the end of the number?
Answer
Let the 5 digit number be represented by abcde.
Then the 6 digit number, 1abcde x 3 = abcde1 (another 6 digit number)
Now let Y = abcde
Then (100000 + Y) x 3 = (Y x 10) + 1
300000 + 3Y = 10Y + 1
7Y = 299999
Y = 299999 ÷ 7 = 42857
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