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29 April, 07:21

Two-fifths time a plus a over 2 equals a minus 2

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  1. 29 April, 07:30
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    Two-fifths time a plus a over 2 equals a minus 2 will be a=20

    Step-by-step explanation:

    We have to find a, by first writing the verbal expression into an arithmetic form as,

    Two fifths times a = (2/5) a

    a over 2 = a/2

    a minus 2 = a-2

    (2/5) a + (a/2) = a-2

    We have to take LCM on LHS as 10.

    (2*2 / 5*2) a + (a*5 / 2*5) = a-2

    (4a/10) + (5a/10) = a-2

    Moving 10 to the other side, we will get,

    4a + 5a = 10 (a-2)

    9a = 10a - 20

    Grouping terms we will get,

    10a - 9a = 20

    a = 20
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