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  • Simultaneous equations give you;
    Bat+Ball=110
    Bat-Ball=100

    => Bat=110-ball
    and Bat=100+ball

    => 110-ball=100+ball

    Correct so far.

    which is a tautology....

    Nope!

    Add "ball" to both sides

    => 110 = 100 + 2(ball)

    Subtract 100 from both side

    ==> 10 = 2(ball)

    Divide by 2

    => ball = 5

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