| ( | 1 100 | + | a | ) | ÷ | ( | 1 10 | + | a | ) | × | ( | 1 10 | + | a | ) | = | 149 50 |
| Multiply both sides of the equation by: | ( | 1 10 | + | a | ) |
| ( | 1 100 | + | a | ) | ( | 1 10 | + | a | ) | = | 149 50 | ( | 1 10 | + | a | ) |
1 100 | ( | 1 10 | + | a | ) | + | a | ( | 1 10 | + | a | ) | = | 149 50 | ( | 1 10 | + | a | ) |
1 100 | ( | 1 10 | + | a | ) | + | a | ( | 1 10 | + | a | ) | = | 149 50 | × | 1 10 | + | 149 50 | a |
1 100 | ( | 1 10 | + | a | ) | + | a | ( | 1 10 | + | a | ) | = | 149 500 | + | 149 50 | a |
1 100 | × | 1 10 | + | 1 100 | a | + | a | ( | 1 10 | + | a | ) | = | 149 500 | + | 149 50 | a |
1 1000 | + | 1 100 | a | + | a | ( | 1 10 | + | a | ) | = | 149 500 | + | 149 50 | a |
1 1000 | + | 1 100 | a | + | a | × | 1 10 | + | a | a | = | 149 500 | + | 149 50 | a |
1 1000 | + | 11 100 | a | + | a | a | = | 149 500 | + | 149 50 | a |
| a= | 297 100 |