Whakaoti i te (x-x10/100)-(x-x10/100)5/100=1539

$$(x-x \frac{ 10 }{ 100 } )-(x-x \frac{ 10 }{ 100 } ) \frac{ 5 }{ 100 } =1539$$

Whakaoti mō x

$$x=1800$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakahekea te hautanga \frac{10}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$x-x\times \frac{1}{10}-\left(x-x\times \frac{10}{100}\right)\times \frac{5}{100}=1539$$

Pahekotia te x me -x\times \frac{1}{10}, ka \frac{9}{10}x.

$$\frac{9}{10}x-\left(x-x\times \frac{10}{100}\right)\times \frac{5}{100}=1539$$

Whakahekea te hautanga \frac{10}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\frac{9}{10}x-\left(x-x\times \frac{1}{10}\right)\times \frac{5}{100}=1539$$

Pahekotia te x me -x\times \frac{1}{10}, ka \frac{9}{10}x.

$$\frac{9}{10}x-\frac{9}{10}x\times \frac{5}{100}=1539$$

Whakahekea te hautanga \frac{5}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{9}{10}x-\frac{9}{10}x\times \frac{1}{20}=1539$$

Me whakarea te \frac{9}{10} ki te \frac{1}{20} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{9}{10}x-\frac{9\times 1}{10\times 20}x=1539$$

Mahia ngā whakarea i roto i te hautanga \frac{9\times 1}{10\times 20}.

$$\frac{9}{10}x-\frac{9}{200}x=1539$$

Pahekotia te \frac{9}{10}x me -\frac{9}{200}x, ka \frac{171}{200}x.

$$\frac{171}{200}x=1539$$

Me whakarea ngā taha e rua ki te \frac{200}{171}, te tau utu o \frac{171}{200}.

$$x=1539\times \frac{200}{171}$$

Tuhia te 1539\times \frac{200}{171} hei hautanga kotahi.

$$x=\frac{1539\times 200}{171}$$

Whakareatia te 1539 ki te 200, ka 307800.

$$x=\frac{307800}{171}$$

Whakawehea te 307800 ki te 171, kia riro ko 1800.

$$x=1800$$