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points A,B,C and D lie on a straight line in the given order. AC=25cm and BD=46cm. the ratio of length CD to length AB is 5/2. find the length of line segment BC in cm.

  • maths -

    make a sketch on a number line of the given.
    let BC = x
    then AB = 25-x and CD = 46 -x

    CD/AB = 5/2
    (46-x)/(25-x) = 5/2
    92 - 2x = 125-5x
    3x = 33
    x = 11

    So BC = 11 cm

    check:
    then AB = 25-11= 14 and CD = 46-11 = 35
    ration of CD/AB = 35/14 = 5/2

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