Problem 50237. Number Puzzle - 045

Created by Doddy Kastanya

Solve Later

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<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 118px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 59px; transform-origin: 407px 59px; vertical-align: baseline; "><div style="block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Find all three-digit numbers N which can be written as abc where a, b, and c do not have to be unique and satisfy the following condition:</span></span></div><div style="block-size: 67px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 33.5px; text-align: left; transform-origin: 384px 33.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline" 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" data-image-state="image-loaded"></div></div></div>

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Last Solution submitted on Apr 29, 2023

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Problem 50237. Number Puzzle - 045

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Problem 50237. Number Puzzle - 045

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