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Question Number 9171 by nazar last updated on 21/Nov/16
In a cricket team of 11,  there 7 were  atleast 20 years old and 8 were atmost  30 years old. The ages of how many  were from 20 years to 30 years(both  inclusive)?
$$\mathrm{In}\:\mathrm{a}\:\mathrm{cricket}\:\mathrm{team}\:\mathrm{of}\:\mathrm{11},\:\:\mathrm{there}\:\mathrm{7}\:\mathrm{were} \\ $$$$\mathrm{atleast}\:\mathrm{20}\:\mathrm{years}\:\mathrm{old}\:\mathrm{and}\:\mathrm{8}\:\mathrm{were}\:\mathrm{atmost} \\ $$$$\mathrm{30}\:\mathrm{years}\:\mathrm{old}.\:\mathrm{The}\:\mathrm{ages}\:\mathrm{of}\:\mathrm{how}\:\mathrm{many} \\ $$$$\mathrm{were}\:\mathrm{from}\:\mathrm{20}\:\mathrm{years}\:\mathrm{to}\:\mathrm{30}\:\mathrm{years}\left(\mathrm{both}\right. \\ $$$$\left.\mathrm{inclusive}\right)? \\ $$
Answered by mrW last updated on 22/Nov/16
suppose x players were from 20 to  30 (both includive) years old.  then 8−x were less than 20 and  7−x were more than 30 years old.  (8−x)+x+(7−x)=11  x=4
$$\mathrm{suppose}\:\mathrm{x}\:\mathrm{players}\:\mathrm{were}\:\mathrm{from}\:\mathrm{20}\:\mathrm{to} \\ $$$$\mathrm{30}\:\left(\mathrm{both}\:\mathrm{includive}\right)\:\mathrm{years}\:\mathrm{old}. \\ $$$$\mathrm{then}\:\mathrm{8}−\mathrm{x}\:\mathrm{were}\:\mathrm{less}\:\mathrm{than}\:\mathrm{20}\:\mathrm{and} \\ $$$$\mathrm{7}−\mathrm{x}\:\mathrm{were}\:\mathrm{more}\:\mathrm{than}\:\mathrm{30}\:\mathrm{years}\:\mathrm{old}. \\ $$$$\left(\mathrm{8}−\mathrm{x}\right)+\mathrm{x}+\left(\mathrm{7}−\mathrm{x}\right)=\mathrm{11} \\ $$$$\mathrm{x}=\mathrm{4} \\ $$

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