Subject
Bank Exam
Topic
Joint Recruitment Test for 8 Banks (SO) [03-09-2019, AUST
[ Read the following questions carefully and choose the right answer. ]The average of the three numbers x, y and z is 45. x is greater than the average of y and z by 9. The average of y and z is greater than y by 2. Then the difference of x and z is
[ Read the following questions carefully and choose the right answer. ]The average of the three numbers x, y and z is 45. x is greater than the average of y and z by 9. The average of y and z is greater than y by 2. Then the difference of x and z is
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7ঘ)
11Explanation
প্রশ্নে বলা হচ্ছে, x, y এবং z এই তিনটি সংখ্যার গড় 45. y এবং z এর গড়ের চেয়েও x সংখ্যাটি 9 বেশি । আবার, y এবং z এর গড়ের চেয়েও y এর মান 2 বেশি । x এবং z এর পার্থক্য কত ? প্রথমত শর্তানুসারে, x+y+z/3 = 45 => x + y + z = 45×3 = 135 => y + z = 135-x .............(i) দ্বিতীয় শর্তানুসারে, x = y+z/2+9 => 2x = ( y+z ) + 18 => 2x = 135-x+18 [(y+z) এর মান বসিয়ে] => 3x = 153 x =153/3 = 21 তৃতীয় শর্তানুসারে, y+z/2 = y+2 => y+z = 2y+4 => 135-x = 2y + 4 [(y+z) এর মান বসিয়ে ] => 135 - 51 = 2y+4 => 2y +4 = 84 => 2y = 84 - 4 = 80 y = 80/2 = 40 y এবং x এর মান (i) নং সমীকরণে বসিয়ে পাই 40+z = 135-51 => z = 135-51-40 = 135-91 z = 44 অতএব, x এবং z এর পার্থক্য হলো = x - z = 51 - 44 = 7.Related questions
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