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RyuAmakusa (709)

Blazing goIITian

Olaaa!! Perrrfect answer. 111  [188 rates]

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let the no be (100)x + (10)y + z now x>y>z.
the reversed no. is 100z + 10y + x now subract.
                 
                        100x + 10y + z
                    (-) 100z + 10y + x 
 now if u do normal sub. z-x will be - so what do we do recall from the 1 st standard. borrow.
 
                        100x + 10(y-1) +10+ z
                    (-) 100z + 10y      + x    even now u need to borrow.
 
                        100(x-1)  +100+ 10(y-1) +10+ z
                    (-) 100z       + 10y             + x    now sub.
 
      =            (100( x-1-z)) + (100 -10 )+ (10 +z -x)
               // i have enclosed each digit in  brackets.
      =            (100( x-1-z)) + (10(9) )+ (10 +z -x)   now reverse this no.     
 
                  (100(10 +z -x)) + (10(9) ) + ( x-1-z) now add.
 
     =           (100( x-1-z +10 +z -x) +90 + 90 +(10 +z -x + x-1-z )
     =            100 *9 +180 + 9
     =           1089!!! 
 this reply: 20 points  (with Olaaa!! Perrrfect answer.   in 4 votes )   [?]
 
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