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If a + c = mb and 1/b + 1/d = m/c, prove that a, b, c and d are in proportion.

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exam oriented an important question from ML aggarwal, class 10th, chapter 7, ratio and proportion, Avichal publication

It is given that If a + c = mb and 1/b + 1/d = m/c,

Then we have to prove that a, b, c and d are in proportion.

Question 15, exercise 7.2

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  1. Solution:

    It is given that

    a + c = mb and 1/b + 1/d = m/c

    a + c = mb

    Dividing the equation by b

    a/b + c/d = m ……. (1)

    1/b + 1/d = m/c

    Multiplying the equation by c

    c/b + c/d = m …… (2)

    Using equation (1) and (2)

    a/b + c/b = c/b + c/d

    So we get

    a/b = c/d

    Therefore, it is proved that a, b, c and d are in proportion.

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