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Question

By how much does I exceed 2x − 3y − 4?
(a) 2x − 3y − 5
(b) 2x − 3y − 3
(c) 5 − 2x + 3y
(d) none of these

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Solution

(c) 5 − 2x + 3y

1 exceeds 2x − 3y − 4.

∴1 - (2x − 3y − 4) = 1 -2x + 3y + 4
= 5 - 2x + 3y

∴ 1 exceeds 2x − 3y − 4 by 5 - 2x + 3y.

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