| Use systematic reasoning: set up the relationship between the digits, find the total, then divide. |
| The tenths and thousandths digits are equal. Call this value d. | ||
| The hundredths digit is 1 less than the thousandths digit: d - 1. | ||
| Sum of digits | = | d + (d - 1) + d = 20 |
| Simplify | = | 3d - 1 = 20, so 3d = 21 |
| Each equal digit d | = | 21 / 3 = 7 |
| Hundredths digit | = | 7 - 1 = 6 |
| The number is less than 1, so the decimal is 0.767. | ||