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29 December, 08:14

How many pairs of whole numbers have the sum of 110

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  1. 29 December, 08:19
    0
    1 + 109

    2 + 108

    3 + 107

    4 + 106

    ( ...)

    106 + 4

    107 + 3

    108 + 2

    109 + 1

    There are 109 such pairs - unless you don't want to count the combinations of the same numbers but in different order (e. g. 50 + 60 and 60 + 50) - then there are 55 such pairs (up to 55 + 55).

    You can also count 0 - sometimes we treat it as a whole number, sometimes we don't - then add two pairs (0 + 110 and 110 + 0) to the 109 pairs result, or 1 pair for 55 pairs result.

    I hope it's quite understanda
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