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s - r = 18, so s = 18 + r: t - r = 4(t - s) is t - r = 4(t - 18 + r) ie t - r = 4t - 72 + 4r

3t = 72 - 5r

Possible answers:

t = 19, r = 3, rt = 16, st = 4; r/s/t = 0, 12, 16 x 1.5 gives 0, 18, 24

t = 14, r = 6, rt = 8, st = 2; r/s/t = 0, 6, 8 x 3 also gives 0, 18, 24

t = 9, r = 9

t = 4, r = 12 The last two are not in fact possible as t must exceed r.

The distances starting from r at 0, are rs = 18, st = 6 and rt = 24

The above is unnecessarily complicated!

If s is between r and t and rt is 4 times st then rs must be 3 times st. rs is 18 so st is 6 and rt 24. Simple!

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14y ago
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Q: S is between r and t the distance between r and t is 4 times the distance between s and t if rs equals 18 what is RT?
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