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Answers
x + y + z = 223...(1)
x + 13 = z
x + z = 2y + 7...(2)
Replacing z with x + 18 into (1) and (2) gives:
x + y + (x + 13) = 223
i.e. 2x + y = 210...(1)
and x + (x + 13) = 2y + 7
i.e. 2x  2y = 6...(2)
(1)  (2) => 3y = 216
so, y = 72
Hence, 2x + 72 = 210
=> 2x = 138
i.e. x = 69
Therefore, z = 69 + 13 => 82
so, (x, y, z) > (69, 72, 82)
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Is the largest number 18 more than the smallest, or is it 13 more than the smallest? Your words say 18, but your equations have 13.
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