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How many positive four-digit integers n have the property that the three-digit number obtained by removing the leftmost digit is one-fifth of n?

 Dec 13, 2020
 #1
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Is this what you want?

 

1250,  2500,  3750 >> Total =  3 such numbers:

 

250 / 1250 = 1 / 5,   500 / 2500 = 1 / 5,  750 / 3750 = 1 / 5

 Dec 13, 2020
 #2
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They are the only ones.

 Dec 13, 2020

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