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Question
If 52x + 65y = 183 and 65x + 52y = 168, then find x + y = ?
Sum
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Solution
52x + 65y = 183 ...(i)
65x + 52y = 168 ...(ii)
Adding equations (i) and (ii), we get
52x + 65y = 183
+ 65x + 52y = 168
117x + 117y = 351
∴ 117x + 117y = 351
∴ 117(x + y) = 351
∴ x + y = `351/117` ...[Dividing both sides by 117]
∴ x + y = 3
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