101x+99y =501,99x+101y=499
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Given that 99x + 101y = 499 … (1)
101x + 99y = 501 … (2)
Adding equations (1) and (2), we get.
200x + 200y = 1000 Or, x + y = 5 … (3)
Subtracting (1) from (2), we get,
2x – 2y = 2 Or, x – y = 1 … (4)
Adding (3) and (4), we get,
2x = 6 x = 3
Putting the value of x in (3),
we get, y = 2
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