Mathematics

If a > b, then for two 3-digit numbers abc and cba; we have abc - cba equal to :

  1. -27

  2. -6

  3. 6

  4. none of these

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Answer

abc - cba

= (100a + 10b + c) - (100c + 10b + a)

= 100a + 10b + c - 100c - 10b - a

= (100a - a) + (10b - 10 x b) + (c - 100c)

= 99a - 99 x c

= 99(a - c)

Hence, option 4 is the correct option.

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