Page 55 - Numbertheory
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. n = 890 n +10 n
900 900
. n +10 = 900
22538 ( ) 34256 24538 ( ) ()
14538 ( )
14638 ( )
34256 : ()
34256 = 3× 63 + 4 × 62 + 2 × 6 + 5
= 684 +144 +12 + 5
= 809
809
83 = 512 82 = 64
809 = 512 + 297 = 83 + 4 × 64 + 43
= 83 + 4 ×82 + 5×8 + 3
= 14538
. 34256 = 809 = 14538
( ) [AHSME 1981] ( )
4( )
(9 ) x = 121122111222111122223
5( )
3( ) 2 ()
٤٢