Question

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Aflati cifra a, daca 0,a +0,aa + 0,aaa=2,568

Answer 1

$0,a +0,aa+0,aaa= 2,568$

$\frac{a}{10} + \frac{aa}{100} + \frac{aaa}{1000} =2,568$

si acuma scriem numerele sub forma zecimala: $\frac{a}{10} + \frac{10a +a}{100}+ \frac{100a +10a+a}{1000} = 2,568$
$\frac{a}{10} ^{100} + \frac{11a}{100} ^{10} + \frac{111a}{1000} = 2,568$

$\frac{100a+110a+111a}{1000} =2,568^{1000}$

$a(100+110+111)=2568$

$321 a=2568$

$a=8$