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?

Correct 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