Friday, 10 February 2017

Introduction to Algebra... Crystal Ball Gazing...


Could you UNCOVER THE MYSTERY behind the crystal ball?
(in the Algebraic way!)
Submit your explanation under comments...

12 comments:

  1. The flash mind reader works with multiples of 9, so all the multiples of 9 is the answer, from 9 to 81, but they are mixed up every time so as to confuse us.

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    2. Number in tens place is x
      Number in ones place is y
      The number =10x+y
      10x+y-(x+y)=9x
      so the answer is always a multiple of 9

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    3. @Zun Kye
      Clear explanation :)
      5 points for group 4

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  3. If n = 82
    82=8x10+2
    =8a+2b
    10a+2b-(a+2b)
    =9a
    Therefore, the numbers is a multiple of 9

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    1. if you put 8x10+2=8a+2b, it will seem like a=10 and b=1 because 8x10+2=8x10(a)+2x1(b).

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    2. The answer will still be the same

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    3. @Ethan
      The 3rd line of the working, when generalized (using your example) would be 10a+b
      So that it can represent any 2 digit number.

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  4. All answers are multiplication of 9 hence taking the number in tens as a and number in ones are b, 10a+b, subtract a+b=9a

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