the sum of two numbers is 30 and their difference is 6
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Let the numbers be x and y
x + y = 30 — (i)
x - y = 6 — (ii)
Now, add (i) and (ii)
We get 2x = 36, —> x = 36/2 = 18.
Therefore x = 18, —> 18 - y = 6,
-y = 6 - 18 = -12, —> y = 12.
Hence the numbers are 18 and 12.
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