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Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 20%*(100*10000+900000) = A*10000-A*10000*5%-1900000 .
Question type: Equation
Solution:Original question:
20 100 | ( | 100 | × | 10000 | + | 900000 | ) | = | A | × | 10000 | − | A | × | 10000 | × | 5 100 | − | 1900000 |
| Left side of the equation = | 20 100 | × | 100 | × | 10000 | + | 20 100 | × | 900000 |
| = | 200000 | + | 180000 |
| = | 380000 |
| 380000 | = | A | × | 10000 | − | A | × | 10000 | × | 5 100 | − | 1900000 |
| Right side of the equation = | A | × | 10000 | − | A | × | 500 | − | 1900000 |
| = | 9500 | A | − | 1900000 |
| 380000 | = | 9500 | A | − | 1900000 |
Transposition :
| - | 9500 | A | = | - | 1900000 | − | 380000 |
Combine the items on the right of the equation:
| - | 9500 | A | = | - | 2280000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 2280000 | = | 9500 | A |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
| 9500 | A | = | 2280000 |
The coefficient of the unknown number is reduced to 1 :
| A | = | 2280000 | ÷ | 9500 |
| = | 2280000 | × | 1 9500 |
| = | 240 | × | 1 |
We obtained :
| A | = | 240 |