Page 66 - Numbertheory

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.7 7000007 7000010 = 7000007 + 3

.3

1234x 678 8 [BritishJMC 1999] ( )

x 11 1( )

9() 7( ) 3( )

11 : ( )

8− 7 + 6 − x + 4 −3+ 2 −1 = 9 − x

.( x ) x =9 .11

d 6d 41 [BritishJMC 2000] ( )
.9
27 ( ) 25 ( )
23 ( ) 18 ( )

9 d 6d 41 :( )

. 9 2d +11

. 2d +11 = 27 2d +11 = 18

.d d = 3.5 2d +11 = 18

. 86841 2d +11 = 27

. 8 + 6 + 8 + 4 +1 = 27

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