The sum of the page number of two facing pages of a book is 85. what are the page number? If the sum is not given, but the product is given to be 1806, how will you find the page number
Answers
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The answer is in the attachment below
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Answer:
The page numbers are 42 and 43.
Step-by-step explanation:
The sum of the two page numbers is a two-digit number.
This implies that both the page numbers are two digit numbers.
Let us assume that one page is numbered as 10x + y.
Then the other page number is, 10x + y + 1.
It is given: (10x + y) + (10x + y + 1) = 85.
Solve as follows:
Thus, one of the pages is numbered as 42.
Then the other page number is, 42 + 1 = 43.
Thus, the page numbers are 42 and 43.
Now if the product of the numbers of the two page numbers is 1806.
1 × 1806 = 1806
2 × 903 = 1806
3 × 602 = 1806
6 × 301 = 1806
7 × 258 = 1806
14 × 129 = 1806
21 × 86 = 1806
42 × 43 = 1806
The last factors: 42 × 43 = 1806.
The sum of these two factors is, 42 + 43 = 85.
Thus, the page numbers are 42 and 43.