Let's represent the total number of pages in the novel as x.
In the morning, Hudson read 2/5 of x, which is (2/5)*x.
The remainder of the novel is (1-2/5)*x = (3/5)*x.
In the afternoon, he read 1/6 of the remainder, which is (1/6)*(3/5)*x = (1/10)*x.
After reading in the afternoon, he still had 170 more pages to read, so:
(3/5)*x - (1/10)*x = 170
Multiplying through the equation by 10 to eliminate the fractions gives:
6x - x = 1700
Simplifying the equation gives:
5x = 1700
Dividing both sides of the equation by 5 gives:
x = 340
Therefore, the total number of pages in the novel is 340 pages.
Hudson read 2 5 of a novel in the morning after reading 1 6 of the remainder in the afternoon he still had 170 more pages to read find the total number of pages in the novel.
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