Question

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​

Answer 1

Hey

The answer is in the attachment below

Hope it helps you

Answer 2

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:

$(10x+y)+(10x+y+1)=85\\20x+2y+1=85\\20x+2y=84\\10x+y=\frac{84}{2}\\10x+y=42$

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.