Delhi Police Constable practice question
x and y satisfy 9x + 2y = 46 and 4x + 3y = 27. Find the value of y.
From a Delhi Police Constable Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (D) 3.11
Given 9x + 2y = 46 ...(i) and 4x + 3y = 27 ...(ii). Since the coefficients of x (or y) do not match directly, multiply the equations by suitable constants to equalise one variable's coefficient, then eliminate it. Solving (i) and (ii) simultaneously gives x = 4.42 and y = 3.11. Hence y = 3.11.
हिंदी में प्रश्न
x और y इस प्रकार हैं कि 9x + 2y = 46 और 4x + 3y = 27। y का मान ज्ञात कीजिए।
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सही उत्तर: (D) 3.11
दिया गया है 9x + 2y = 46 ...(i) और 4x + 3y = 27 ...(ii)। चूँकि x (या y) के गुणांक सीधे समान नहीं हैं, इसलिए समीकरणों को उपयुक्त स्थिरांकों से गुणा करके एक चर के गुणांक बराबर करें और फिर उसे हटाएँ। समीकरण (i) और (ii) को हल करने पर x = 4.42 और y = 3.11 प्राप्त होता है। अतः y = 3.11 है।
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