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10 February, 08:57

The sum of two numbers is 3 3/4 if 1/3 of the larger number is 1/2 more than 2/3 of the smaller find the number

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  1. 10 February, 09:17
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    Let us assume the larger number = x

    Let us assume the smaller number = y

    Then

    x + y = 3 3/4

    x + y = 15/4

    And

    x/3 = (2y/3) + 1/2

    x = [3 * (2y/3) ] + (3/2)

    = 2y + (3/2)

    Now putting the value of x from the second equation to the first, we get

    x + y = 15/4

    2y + (3/2) + y = 15/4

    3y = (15/4) - (3/2)

    3y = (15 - 6) / 4

    3y * 4 = 9

    12y = 9

    y = 9/12

    = 3/4

    Now putting the value of y in the first equation, we get

    x + y = 15/4

    x + (3/4) = (15/4)

    x = (15/4) - (3/4)

    = (15 - 3) / 4

    = 12/4

    = 3

    So the value of x or the larger number is 3 and the value of y or the smaller number is 3/4.
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