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There are four three-digit n...

There are four three-digit numbers that share this property: the number itself, its double and its triple contain each digit from 1 to 9 exactly once. For example, 192 is one of them because 192, 384, 576 contain 1 to 9 each once. 273 is another one of them because 273, 546, 819 contain 1 to 9 each once. Can you find the other two numbers and calculate the product of these two numbers?

Correct answers: 23

The first user who solved this task is Djordje Timotijevic.

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Joseph Louis Gay-Lussac

Born 6 Dec 1778; died 9 May 1850 at age 71. French chemist best known for his work on gases. In 1805, by exploding together given volumes of hydrogen and oxygen, Gay-Lussac discovered they combined in ratio 2:1 by volume to form water. By 1808, after researches using other gases, he formulated his famous law of combining volumes - that when gases combine their relative volumes bear a simple numerical relation to each other (e.g., 1:1, 2:1) and to their gaseous product (under constant pressure and temperature). He developed techniques of quantitative chemical analysis, confirmed that iodine was an element, discovered cyanogen, improved the process for manufacturing sulphuric acid, prepared potassium and boron (1808). He made two balloon ascents to study the atmosphere.

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