Mathematical Games

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  
1Ask Tangent to choose a number.
Let the number be u.
u = 21
2Next, multiply the number by 5 (= 5u).21 × 5 = 105
3Add 6 to the product.105 + 6 = 111
4Multiply the sum by 4.111 × 4 = 444
5Add 9 to the product.  444 + 9 = 453
6Multiply the sum by 5.453 × 5 = 2265
7Ask to subtract 165 from this product.2265 – 165 = 2100
8Divide the remainder by 100.2100 / 100 = 21
9The quotient will be the number
thought of originally.
21
Why does this always work?

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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