The sum of two number is 14 and their difference is 2. Find the numbers.
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Solution:
Let the two numbers be x andy.
+y 14. ()
-y2 .. ()
Adding equation () and (ii), we get 2x = 16
or, 2x/2 16/2 or, x = 16/2
or, x = 8
Substituting the value x in equation (), we get
8+y 14
or, 8-8+ y = 14-8
or, y 14 -8
or, y 6
Therefore, x = 8 and y = 6
Hence, the two numbers are 6 and 8.
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