If 217x + 131y = 913, 131x + 217y = 827, then x + y is

(a) 5   (b) 6   (c) 7   (d) 8

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Question 24 If 217𝑥 + 131𝑦 = 913, 131𝑥 + 217𝑦 = 827, then 𝑥 + 𝑦 is (a) 5 (b) 6 (c) 7 (d) 8Given equations 217𝑥 + 131𝑦 = 913 …(1) 131𝑥 + 217𝑦 = 827 …(2) Adding both equations (1) and (2) (217𝒙 + 131𝒚) + (131𝒙 + 217𝒚) = 913 + 827 (217𝑥 + 131𝑥) + (131𝑦 + 217𝑦) = 1740 348𝑥 + 348𝑦 = 1740 348 (𝒙 + 𝒚) = 1740 𝑥 + 𝑦 = 1740/348 𝑥 + 𝑦 = 5 So, the correct answer is (a)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.