Sherlock Holmes Puzzle: How many pages?

Difficulty Level

Sherlock Holmes and Jane had to write a combined paper to Scotland Yard on the last case they had solved together. Holmes wrote fourteen more pages than Jane and the paper was completed in a total of seventy eight pages.

How many pages did each of them write?

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**Answer:** Holmes: 46 pages; Jane: 32 pages.

Assume that the number of pages written by Jane=x

Therefore, the number of pages written by Holmes=x+14

According to the question, x+x+14=78

2x=78-14

x=64/2=32

Therefore, Jane wrote 32 pages and Holmes wrote 32+14 i.e. 46 pages.

32

43 and 29