Game 8
Discovering the Desired Outcome through Quotients!
Imagine that You and your friend, Tangent, are playing this game together. Ask him to perform in succession the following operations.
| Sl. No. | Steps to follow | Example |
| 1 | Ask Tangent to choose a number. Let the number be u. | u = 21 |
| 2 | Next, multiply the number by 5 (= 5u). | 21 × 5 = 105 |
| 3 | Add 6 to the product. | 105 + 6 = 111 |
| 4 | Multiply the sum by 4. | 111 × 4 = 444 |
| 5 | Add 9 to the product. | 444 + 9 = 453 |
| 6 | Multiply the sum by 5. | 453 × 5 = 2265 |
| 7 | Ask to subtract 165 from this product. | 2265 – 165 = 2100 |
| 8 | Divide the remainder by 100. | 2100 / 100 = 21 |
| 9 | The quotient will be the number thought of originally. | 21 |
This is a mathematical game that you can play with your friend Tangent several times. The final answer always ends up being the quotient of the last result.

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