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The number of sweets in Container X was 24 more than Container Y. When I removed 42 sweets from Container X and transfered then in Container Y,the number of sweets in Container Y became thrice of Container X. Find the number of sweets in Container X first.

  • math -

    x = The number of sweets in container x

    y = The number of sweets in Container y


    x = 24 + y

    OR

    y = x - 24

    When you removed 42 sweets from container x then numers of sweets in container x became: x - 42

    Numbers of sweets in container y became: y + 42 = thrice of ( x - 42 ) = 3 ( x - 42 )


    y + 42 = 3 ( x - 42 )


    Remark : y = x - 24


    ( x - 24 ) + 42 = 3 ( x - 42 )

    x - 24 + 42 = 3 * x - 3 * 42

    x + 18 = 3 x - 126

    18 + 126 = 3 x - x

    144 = 2 x

    2 x = 144 Divide both sides by 2

    x = 144 / 2

    x = 72


    y = x - 24

    y = 72 - 24

    y = 48


    Cheking :

    x - 42 = 72 - 42 = 30

    y + 42 = 48 + 42 = 90


    90 / 30 = 3

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