We have that the two number are
[tex]y=2642[/tex]
[tex]x=3842[/tex]
From the question we are told that
Two numbers have a difference if 1200
Two numbers have a total of 6484
Let the number be given as
x and y
Generally the equation for the statements is mathematically given as
x-y=1200....1
x+y=6484...2
Therefore
[tex](1200+y)+y=6484\\\\2y=6484-1200\\\\y=2642[/tex]
Hence
[tex]x=1200+(2642)[/tex]
[tex]x=3842[/tex]
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