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Chain a/x + y/b = 1 and b/y + z/c = 1: find the third relation c/z + x/a

This type of question, asked 2 times: CDS 1 2018, CDS 2 2020. All 2 questions below, oldest first.

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  1. Question 1

    CDS 1 2018

    8
    If by+zc=1\frac{b}{y} + \frac{z}{c} = 1 and cz+xa=1\frac{c}{z} + \frac{x}{a} = 1, then what is ab+xybx\frac{ab + xy}{bx} equal to?

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  2. Question 2

    CDS 2 2020

    30
    If ab+xy−xb=0ab + xy - xb = 0 and bc+yz−cy=0bc + yz - cy = 0, then what is xa+cz\frac{x}{a} + \frac{c}{z} equal to ?

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