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x, y - the numbers

The sum of the two numbers is 50.
\(x+y=50 \\ x=50-y\)

The first number is 43 less than twice the second number.
\(x=2y-43 \\ \\ 50-y=2y-43 \\ -y-2y=-43-50 \\ -3y=-93 \\ y=31 \\ \\ x=50-y=50-31=19\)

The numbers are 19 and 31.

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