Whakaoti i te x/1022*1+x/1022*2+x/1022*3+x/1022*4+frac{x}{1002*5}=60000

$$\frac { x } { 1022 \cdot 1 } + \frac { x } { 1022 \cdot 2 } + \frac { x } { 1022 \cdot 3 } + \frac { x } { 1022 \cdot 4 } + \frac { x } { 1002 \cdot 5 } = 60000$$

Whakaoti mō x

$$x = \frac{614426400000}{22919} = 26808604\frac{4924}{22919} \approx 26808604.21484358$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 1022 ki te 1, ka 1022.

$$\frac{x}{1022}+\frac{x}{1022\times 2}+\frac{x}{1022\times 3}+\frac{x}{1022\times 4}+\frac{x}{1002\times 5}=60000$$

Whakareatia te 1022 ki te 2, ka 2044.

$$\frac{x}{1022}+\frac{x}{2044}+\frac{x}{1022\times 3}+\frac{x}{1022\times 4}+\frac{x}{1002\times 5}=60000$$

Pahekotia te \frac{x}{1022} me \frac{x}{2044}, ka \frac{3}{2044}x.

$$\frac{3}{2044}x+\frac{x}{1022\times 3}+\frac{x}{1022\times 4}+\frac{x}{1002\times 5}=60000$$

Whakareatia te 1022 ki te 3, ka 3066.

$$\frac{3}{2044}x+\frac{x}{3066}+\frac{x}{1022\times 4}+\frac{x}{1002\times 5}=60000$$

Pahekotia te \frac{3}{2044}x me \frac{x}{3066}, ka \frac{11}{6132}x.

$$\frac{11}{6132}x+\frac{x}{1022\times 4}+\frac{x}{1002\times 5}=60000$$

Whakareatia te 1022 ki te 4, ka 4088.

$$\frac{11}{6132}x+\frac{x}{4088}+\frac{x}{1002\times 5}=60000$$

Pahekotia te \frac{11}{6132}x me \frac{x}{4088}, ka \frac{25}{12264}x.

$$\frac{25}{12264}x+\frac{x}{1002\times 5}=60000$$

Whakareatia te 1002 ki te 5, ka 5010.

$$\frac{25}{12264}x+\frac{x}{5010}=60000$$

Pahekotia te \frac{25}{12264}x me \frac{x}{5010}, ka \frac{22919}{10240440}x.

$$\frac{22919}{10240440}x=60000$$

Me whakarea ngā taha e rua ki te \frac{10240440}{22919}, te tau utu o \frac{22919}{10240440}.

$$x=60000\times \frac{10240440}{22919}$$

Tuhia te 60000\times \frac{10240440}{22919} hei hautanga kotahi.

$$x=\frac{60000\times 10240440}{22919}$$

Whakareatia te 60000 ki te 10240440, ka 614426400000.

$$x=\frac{614426400000}{22919}$$