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There are only two single-digit numbers where one is 1/5 of the other. Those are 1 and 5 and they become the outside numbers. From there, it's relatively easy to multiply 5 by 3 to get 15 for the inside numbers.

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6y ago
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6y ago

Suppose the four digit number is abcd. The only digit which is divisible by 5 is 5 and so d = 5.So abcd = abc5

Then a is d/5 = 5/5 = 1.

So abcd = 1bc5.

Finally bc = d*3 = 5*3 = 15

and so abcd = 1155.

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Q: How did you arrive at the answer of 1155 for What is the 4 digit number in which the first digit is one-fifth of the last and the second and third digits are the last digit multiplied by 3?
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