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VMO 1978 — Division A Question 4

VMO · VMO 1978 — Division A

Question 4

Find three fractions in lowest terms $a/d,b/d,c/d$ which form an arithmetic progression and satisfy
$$\frac ba=\frac{1+a}{1+d},\qquad\frac cb=\frac{1+b}{1+d}.$$