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MathNet 2014 Question 43

Math Olympiad Vault · MathNet 2014

Question 43

Given that


$$
\frac{a-b}{c-d} = 2 \quad \text{and} \quad \frac{a-c}{b-d} = 3
$$


for certain real numbers $a$, $b$, $c$, $d$, determine the value of


$$
\frac{a-d}{b-c}
$$