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Question Number 125785 by Mathgreat last updated on 13/Dec/20

$$\oplus +\oplus +\oplus =33$$$$▴+▴+9\text{blacktrinagledown}=25$$$$9\text{blacktrinagledown}+▴+2★=19$$$$2\oplus +8\text{blacktrinagledown}\cdot ★=?$$$$$$

Answered by Olaf last updated on 13/Dec/20

$$\{\begin{array}{l}\oplus +\oplus +\oplus =33\left(1\right)\\ ▴+▴+9\text{blacktrinagledown}=25\left(2\right)\\ 9\text{blacktrinagledown}+▴+2★=19\left(3\right)\\ 2\oplus +8\text{blacktrinagledown}.★=?\left(4\right)\end{array}$$$$\left(1\right):\oplus =\frac{33}{3}=11$$$$\left(2\right):▴=\frac{25-9\text{blacktrinagledown}}{2}$$$$\left(3\right):9\text{blacktrinagledown}+\frac{25-9\text{blacktrinagledown}}{2}+2★=19$$$$\frac{9\text{blacktrinagledown}}{2}+2★=19-\frac{25}{2}=\frac{13}{2}$$$$2★=\frac{13-9\text{blacktrinagledown}}{2}$$$$\left(4\right):2\oplus +8\text{blacktrinagledown}.★=22+\left(4\text{blacktrinagledown}\right)\left(\frac{13-9\text{blacktrinagledown}}{2}\right)$$$$2\oplus +8\text{blacktrinagledown}.★=2(11+13\text{blacktrinagledown}-9{\text{blacktrinagledown}}^2)$$$$$$$$\mathrm{If}\text{blacktrinagledown}=1\Rightarrow ★=1,▴=4,\oplus =11$$$$\mathrm{and}2\oplus +8\text{blacktrinagledown}.★=30$$

Commented by Mathgreat last updated on 13/Dec/20

$$▴\cdot ▴+9\text{blacktrinagledown}=25????$$

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