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 217๐‘ฅ + 131๐‘ฆ = 913, 131๐‘ฅ + 217๐‘ฆ = 827, then ๐‘ฅ + ๐‘ฆ is (a) 5 (b) 6 (c) 7 (d) 8Given equations 217๐‘ฅ + 131๐‘ฆ = 913 โ€ฆ(1) 131๐‘ฅ + 217๐‘ฆ = 827 โ€ฆ(2) Adding both equations (1) and (2) (217๐’™ + 131๐’š) + (131๐’™ + 217๐’š) = 913 + 827 (217๐‘ฅ + 131๐‘ฅ) + (131๐‘ฆ + 217๐‘ฆ) = 1740 348๐‘ฅ + 348๐‘ฆ = 1740 348 (๐’™ + ๐’š) = 1740 ๐‘ฅ + ๐‘ฆ = 1740/348 ๐‘ฅ + ๐‘ฆ = 5 So, the correct answer is (a)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.