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             \ 19-Nov-2025  Bharat Arora   Proof-9             Reader’s Sign _______________________ Date __________





            example 1. Find the sum of the following numbers:
                         a. 24368 + 3264                                b.  58364 + 27469
            Solution.  a.                                               b.
                                TTh  Th H      T O                               TTh  Th H      T O

                                           1   1                                   1        1   1
                                 2    4   3    6   8                              5    8   3    6   4

                             +        3   2    6   4                          +   2    7   4    6   9


                                 2    7   6    3   2                              8    5   8    3   3

            example 2. Add 493648 and 57364.                example 3. Add 636436, 246438 and 15643.
            Solution.                                       Solution.
                               L TTh   Th H      T O                           L TTh   Th H      T O

                               1    1   1    1   1                                  1   1    1   1
                               4   9    3   6    4   8                         6   3    6   4    3   6

                          +        5    7   3    6   4                         2   4    6   4    3   8

                                                                          +        1    5   6    4   3
                               5   5    1   0    1   2
                                                                               8   9    8   5    1   7

            example 4. The number of people who visited the book fair in the years 2023, 2024,

            and 2025 were 537815, 956237 and 630792 respectively. How many people visited
            the book fair in these three years?
            Solution.                                                                2    1    1    1    1   1

            Number of people who visited the book fair in 2023 =                          5    3    7    8   1    5
            Number of people who visited the book fair in 2024 =                          9    5    6    2   3    7
            Number of people who visited the book fair in 2025 =                 +        6    3    0    7   9    2
                           Number of visitors in these three years =                 2    1    2    4    8   4    4

            Thus, 21,24,844 people visited the book fair in these three years.
            example 5. In a particular year, the districts  A, B and C of a state produced 570829,

            305634  and 795947 bags  of wheat, respectively.  Find the total  number of bags of
            wheat produced by these three districts.

            Solution.                                                                   1    1    2     1    2
            Number of bags of wheat produced by district A                  =          5     7    0    8     2    9
            Number of bags of wheat produced by district B                  =          3     0    5    6     3    4
            Number of bags of wheat produced by district C                  = +        7     9    5    9     4    7
                       Total number of bags of wheat produced =                    1   6     7    2    4     1   0

            Thus, the three districts together produced 1672410 bags of wheat.



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