Taro reads a book of 151 pages, Jiro reads a book of 216 pages and Hanako reads a book of 294 pages.
For example, if everyone reads 4 pages a day, as for the number of pages read on the day which each finishes reading, it is 3 pages for Taro, 4 pages for Jiro and 2 pages for Hanako.
How many pages should be read a day in order to become the same number of pages which three persons read on the day which each finishes reading?
Moreover, find the number of pages read on the day which each finishes reading.
Noted that the number of pages read on the last day of reading is less than the number of pages read every day.
How many pages should be read a day in order to become the same number of pages which three persons read on the day which each finishes reading?
Moreover, find the number of pages read on the day which each finishes reading.
Noted that the number of pages read on the last day of reading is less than the number of pages read every day.
Answer
13 pages
8 pages
8 pages
Solution
The story in this problem can be denoted as following statement.
151, 216 and 294 is divided by the same divisor and the remainder of each division should be the same number.
According to this statement we find that the difference between two numbers out of three should be divided by the same divisor.
The difference between 151 and 216 is 65.
The difference between 151 and 294 is 143.
The difference between 216 and 294 is 78.
65, 143 and 78 are divided by the same divisor or these three numbers have common divisor.
It is found 1 and 13 but 1 is not suitable for this case.
Therefore the answer is 13.
151 / 13 = 11 remainder 8.
Then the number of pages read last day is 8.
The story in this problem can be denoted as following statement.
151, 216 and 294 is divided by the same divisor and the remainder of each division should be the same number.
According to this statement we find that the difference between two numbers out of three should be divided by the same divisor.
The difference between 151 and 216 is 65.
The difference between 151 and 294 is 143.
The difference between 216 and 294 is 78.
65, 143 and 78 are divided by the same divisor or these three numbers have common divisor.
It is found 1 and 13 but 1 is not suitable for this case.
Therefore the answer is 13.
151 / 13 = 11 remainder 8.
Then the number of pages read last day is 8.
