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otauwohikki's diary

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27 と 72

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 ◆  360×(3/4) = 270
 ◆  360×2 = 720

 ◆  36×(3/4) = 27
 ◆  36×2 = 72

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 ◆  ( (10b+a)/2 )×(3/4) = 10a+b

 ◆  (10b+a)×(3/8) = 10a+b

 ◆  (30/8)b+(3/8)a = (80/8)a+(8/8)b

 ◆  (30/8)b-(8/8)b = (80/8)a-(3/8)a

 ◆  (22/8)b = (77/8)a

 ◆  2b = 7a

 ◆  b/a = 7/2

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 ◆  3×9 = 27
 ◆  8×9 = 72

 ◆  (72/8)×3 = 27

 ◆  (10b+a)×(3/8) = 10a+b

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 ◆  3×9 = 27
 ◆  8×9 = 72

 ◆  (27/3)×8 = 72

 ◆  (10a+b)×(8/3) = 10b+a
 ◆  (80/3)a+(8/3)b = (30/3)b+(3/3)a
 ◆  (80/3)a-(3/3)a = (30/3)b-(8/3)b
 ◆  (77/3)a = (22/3)b
 ◆  7a = 2b
 ◆  7/2 = b/a
 ◆  b/a = 7/2

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 ◆  4×6 = 24
 ◆  7×6 = 42

 ◆  (24/4)×7 = 42

 ◆  (10a+b)×(7/4) = 10b+a
 ◆  (70/4)a+(7/4)b = (40/4)b+(4/4)a
 ◆  (70/4)a-(4/4)a = (40/4)b-(7/4)b
 ◆  (66/4)a = (33/4)b
 ◆  2a = b
 ◆  2 = b/a
 ◆  b/a = 2

 ◆  (12/4)×7 = 21
 ◆  (24/4)×7 = 42
 ◆  (36/4)×7 = 63
 ◆  (48/4)×7 = 84

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 ◆  2×9 = 18
 ◆  9×9 = 81

 ◆  (18/2)×9 = 81

 ◆  (10a+b)×(9/2) = 10b+a
 ◆  (90/2)a+(9/2)b = (20/2)b+(2/2)a
 ◆  (90/2)a-(2/2)a = (20/2)b-(9/2)b
 ◆  (88/2)a = (11/2)b
 ◆  8a = b
 ◆  8 = b/a
 ◆  b/a = 8

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 ◆  13×3 = 39
 ◆  31×3 = 93

 ◆  (39/13)×31 = 93

 ◆  (10a+b)×(31/13) = 10b+a
 ◆  (310/13)a+(31/13)b = (130/13)b+(13/13)a
 ◆  (310/13)a-(13/13)a = (130/13)b-(31/13)b
 ◆  (297/3)a = (279/3)b
 ◆  307a = 99b
 ◆  3 = b/a
 ◆  b/a = 3

 ◆  (13/13)×31 = 31
 ◆  (26/13)×31 = 62
 ◆  (39/13)×31 = 93

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 ◆  5×9 = 45
 ◆  6×9 = 54

 ◆  (45/5)×6 = 54

 ◆  (10a+b)×(6/5) = 10b+a
 ◆  (60/5)a+(6/5)b = (50/5)b+(5/5)a
 ◆  (60/5)a-(5/5)a = (50/5)b-(6/5)b
 ◆  (55/5)a = (44/5)b
 ◆  5a = 4b
 ◆  5/4 = b/a
 ◆  b/a = 5/4

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12×2 = 24
21×2 = 42

12×3 = 36
21×3 = 63

12×4 = 48
21×4 = 84

 

13×2 = 26
31×2 = 62

13×3 = 39
31×3 = 93

 

14×2 = 28
41×2 = 82

 

23×2 = 46
32×2 = 64

23×3 = 69
32×3 = 96

 

24×2 = 48
42×2 = 84

 

34×2 = 68
43×2 = 86

 

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2×9 = 18
9×9 = 81

 

3×9 = 27
8×9 = 72

 

4×9 = 36
7×9 = 63

 

5×9 = 45
6×9 = 54

 

a×9 = ( (a-1)×10 )+( 9-(a-1) )
(11-a)×9 = ( (9-(a-1)×10 )+( 9-(a-1) )

 

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((10b+a)/2)×(3/4)

 

10a+b

 

((9-(a-1)×10)