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Question Number 180396 by nadovic last updated on 11/Nov/22

The difference between the ages of  Sammy and Cindy is half the   difference between the ages of   their parents. Their father is 6  years older than twice the age of   Cindy. Their mother is twice as old  as Cindy and 12 years older than   Sammy. By how many years is   Sammy younger than Cindy?

$$\mathrm{The}\:\mathrm{difference}\:\mathrm{between}\:\mathrm{the}\:\mathrm{ages}\:\mathrm{of} \\ $$$$\mathrm{Sammy}\:\mathrm{and}\:\mathrm{Cindy}\:\mathrm{is}\:\mathrm{half}\:\mathrm{the}\: \\ $$$$\mathrm{difference}\:\mathrm{between}\:\mathrm{the}\:\mathrm{ages}\:\mathrm{of}\: \\ $$$$\mathrm{their}\:\mathrm{parents}.\:\mathrm{Their}\:\mathrm{father}\:\mathrm{is}\:\mathrm{6} \\ $$$$\mathrm{years}\:\mathrm{older}\:\mathrm{than}\:\mathrm{twice}\:\mathrm{the}\:\mathrm{age}\:\mathrm{of}\: \\ $$$$\mathrm{Cindy}.\:\mathrm{Their}\:\mathrm{mother}\:\mathrm{is}\:\mathrm{twice}\:\mathrm{as}\:\mathrm{old} \\ $$$$\mathrm{as}\:\mathrm{Cindy}\:\mathrm{and}\:\mathrm{12}\:\mathrm{years}\:\mathrm{older}\:\mathrm{than}\: \\ $$$$\mathrm{Sammy}.\:\mathrm{By}\:\mathrm{how}\:\mathrm{many}\:\mathrm{years}\:\mathrm{is}\: \\ $$$$\mathrm{Sammy}\:\mathrm{younger}\:\mathrm{than}\:\mathrm{Cindy}? \\ $$

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