Mathematical Games

Game 10

Discovering the Desired Outcome through Quotients!

Imagine that You and your friend, Probability, are playing this game together. Ask him to secretly choose two numbers – one single-digit and one two-digits. Now he needs to perform the following steps in succession.

Sl. No. Steps to follow  
Example  
1Write his single-digit number.
Let it be N1
N1 = 7
2Next, multiply that number by 5.7 × 5 = 35
3Add 5 to the answer.35 + 5 = 40
4Multiply that result by 10.40 × 10 = 400
5Add 20 to the total.  400 + 20 = 420
6Multiply that result by 2.420 × 5 = 840
7Subtract 8 from that answer.840 – 8 = 832
8Write his single-digit number.
Let it be N2
N2 = 17
9Add his two-digit number to that result
obtained in step 7.
832 + 17 = 849
10Finally, subtract 132 from the result. This result
will be like N1N2.
849 – 132
= 7 17
Why does this always work?

An exception. When you subtract 132 and obtain only two digits, Normal must have chosen 0 for the single-digit number.

This is a mathematical game that you can play with your friend Normal several times. The final answer always ends up being the concatenation of two numbers: a single-digit and a two-digit number.


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