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21 April, 13:48

The number of home runs by player A and player B for a season are consecutive odd integers whose sum is 88. Determine the number of homers hit by player A and by player B.

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  1. 21 April, 13:59
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    The total home runs of player A is 43 and of player B is 45

    Step-by-step explanation:

    So, we don't know the number of home runs done by the players but we do know that the sum those home runs are 88.

    If we say that player A did "x" home runs and let's assume this one is the player that did less home runs, therefore player B did the same number of home runs plus 2 because they are consecutive odd integers.

    Therefore:

    Home runs of Player A = x;

    Home runs of Player B = x + 2;

    So we get that our equation is:

    Home runs of Player A + Home runs of Player B = 88

    x + x + 2 = 88

    2x + 2 = 88

    2x = 88 - 2

    2x = 86

    x = 86/2

    x = 43

    Home runs of Player A = x = 43

    Home runs of Player B = x + 2 = 43 + 2 = 45

    Therefore, the total home runs of player A is 43 and of player B is 45
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