Quantitative Aptitude Ratio and Proportion Simple Ratios

x, y, and z are three positive numbers such that x > y > z. If the difference and the sum of x and y are in the ratio 1 ∶ 7 and that of y and z is in the ratio 1 ∶ 3, then find the ratio x ∶ z.

1

9 ∶ 4

2

8 ∶ 3

3

7 ∶ 2

4

6 ∶ 1

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