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Question Number 122409 by help last updated on 16/Nov/20

Answered by sewak last updated on 17/Nov/20

$$\mathrm{Solun}.:$$$$\mathrm{Let}\mathrm{no}.\mathrm{of}\mathrm{tickets}\mathrm{sold}\mathrm{to}\mathrm{audit}\mathrm{be}\mathrm{x}.$$$$\mathrm{and}\mathrm{cenior}\mathrm{audit}\mathrm{be}\mathrm{y}.$$$$\mathrm{We}\mathrm{have},\mathrm{no}.\mathrm{of}\mathrm{ticket}\mathrm{sold}\mathrm{to}\mathrm{child}=95$$$$\mathrm{From}{1}^{\mathrm{st}}\mathrm{condition},$$$$\mathrm{x}+\mathrm{y}+95=340$$$$\mathrm{or},\mathrm{x}=245-\mathrm{y}...\left(\mathrm{i}\right)$$$$\mathrm{From}{2}^{\mathrm{nd}}\mathrm{condition},$$$$95>\mathrm{y}\mathrm{and}95<\mathrm{x}$$$$\mathrm{or},\mathrm{y}<\mathrm{x}$$$$\mathrm{Now},$$$$\mathrm{To}\mathrm{get}\mathrm{least}\mathrm{value}\mathrm{of}\mathrm{x}\mathrm{we}\mathrm{put}\mathrm{y}=0$$$$\mathrm{which}\mathrm{also}\mathrm{satisfy}{2}^{\mathrm{nd}}\mathrm{condition}.$$$$\mathrm{then},\mathrm{x}=245-=245$$$$\mathrm{where},95<245\mathrm{and}0<245$$$$\mathrm{Hence},\mathrm{the}\mathrm{least}\mathrm{possible}\mathrm{no}.\mathrm{of}\mathrm{audit}$$$$\mathrm{tickets}\mathrm{sold}\mathrm{on}\mathrm{friday}\mathrm{is}245.$$$$$$

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