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Question
If 12x + 17y = 53 and 17x + 12y = 63 then find the value of (x + y).
Sum
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Solution
The given pair of equations is
12x + 17y = 53 ...(i)
17x + 12y = 63 ...(ii)
Adding (i) and (ii), we get
(12x + 17x) + (17y + 12y) = 53 + 63
29x + 29y = 116
29(x + y) = 116
`x + y = 116/29`
⇒ x + y = 4 ...(Dividing by 4)
Hence, the value of x + y is 4.
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