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If $\overline{40\blacklozenge}$ represents a three-digit positive integer with a ones digit of $\blacklozenge$ and $\overline{1\blacklozenge}$ is a two-digit positive integer with a ones digit of $\blacklozenge$, what value of $\blacklozenge$ makes the equation $\overline{40\blacklozenge} \div 27 = \overline{1\blacklozenge}$ true?

gueesstt  Apr 19, 2018
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If $\overline{40\blacklozenge}$ represents a three-digit positive integer with a ones digit of $\blacklozenge$ and $\overline{1\blacklozenge}$ is a two-digit positive integer with a ones digit of $\blacklozenge$, what value of $\blacklozenge$ makes the equation $\overline{40\blacklozenge} \div 27 = \overline{1\blacklozenge}$ true?

$$40{\color{red}5}\div 27 = 1{\color{red}5}$$

heureka  Apr 19, 2018
edited by heureka  Apr 19, 2018