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(200 - 84)/2 = 58
and
(200 + 84)/2 = 142
For futher explication, see below.
Call the lesser and greater of the two required numbers l and g respectively. the, from the problem statement, l + g = 200 and g - l = 84. Rearrange the first of these equations to give g = 200 - l and substitute this expression into the second of the equations to result in g - (200 - g) = 84, or 2g - 200 = 84, or g 284/2 or 142. l is then (200 - 142) or 58.
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