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|
|1||Write his single-digit number.|
Let it be N1
|N1 = 7|
|2||Next, multiply that number by 5.||7 × 5 = 35|
|3||Add 5 to the answer.||35 + 5 = 40|
|4||Multiply that result by 10.||40 × 10 = 400|
|5||Add 20 to the total.||400 + 20 = 420|
|6||Multiply that result by 2.||420 × 5 = 840|
|7||Subtract 8 from that answer.||840 – 8 = 832|
|8||Write his single-digit number.|
Let it be N2
|N2 = 17|
|9||Add his two-digit number to that result|
obtained in step 7.
|832 + 17 = 849|
|10||Finally, subtract 132 from the result. This result |
will be like N1N2.
|849 – 132 |
= 7 17
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.