Number

What number should be placed instead of the asterisk in number 702*8 to get a number divisible by 6?

Correct answer:

x₁ =  1
x₂ =  4
x₃ =  7

Step-by-step explanation:

$$\begin{gathered} 702x_8\mathrm{\mid }6 \\ 6=2\cdot 3 \\ 7+0+2+x+8\mathrm{\mid }3 \\ 7+0+2+x+8\mathrm{\mid }3 \\ 17+x\mathrm{\mid }3 \\ 8+x\mathrm{\mid }3 \\ {x}_1=1=1 \end{gathered}$$

$x_2=x_1+3=1+3=4$

$x_3=x_2+3=4+3=7$

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