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Mathematics

ab and ba are two 2-digit numbers then ab + ba is equal to :

  1. 2ab

  2. 11ab

  3. 11(a + b)

  4. none of these

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Answer

ab + ba

= (10 x a + b) + (10 x b + a)

= 10a + b + 10b + a

= (10a + a) + (b + 10b)

= 11a + 11b

= 11(a + b)

Hence, option 3 is the correct option.

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