Subject
Bank Exam
Topic
Standerd Bank Ltd. - Trainee Assistant Officer - 2016
If x + y = 4, y + z = 8 and z + x = 6, then 2x - y - z = ?
If x + y = 4, y + z = 8 and z + x = 6, then 2x - y - z = ?
ক)
2খ)
5গ)
-3ঘ)
NoneExplanation
Solution: x + y = 4 ................... (i) y + z = 8 ...................(ii) z + x = 6 ..................(iii) (iii) হতে z = 6 - x z = 6 - x (ii) এ বসাই, y + 6 - x = 8 y = 2 + x y = 2 + x (i) এ বসাই, x + 2 + x = 4 => 2x = 2 x = 1 x = 1 (iii) এ বসাই, z + 1 = 6 z = 5 z = 5 (ii) এ বসাই, y + 5 = 8 y = 3 2x - y - z = 2 1 - 3 - 5 = -6 সুতরাং উওরে -6 নেই বলে উত্তর হবে d). Shortcut: 3টি সমীকরণকে যোগ করলে পাই, 2(x + y + z) = 18 x + y + z = 9 .............(iv) মান বের করতে হবে, 2x - y - z = 2x - (y + z) = 2x - 8 অর্থাৎ আপনাকে x এর মান বের করতে হবে । এখন (iv) - (ii) হতে পাই, x = 9 - 8 = 1 2x - y - z = 2x - (y + z) = 2x - 8 = (2 1) - 8 = - 6, তাই উত্তর হবে d).Related questions
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