The left and right page numbers of an open book are two consecutive integers whose sum is 417. find these page numbers.

➷  We can form an equation:

n + n + 1 = 417

Simplify this:

2n + 1 = 417

-1 from both sides

2n = 416

Divide both sides by 2:

n = 208

Thus, the two page numbers are 208 and 209.

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ANSWER:

The page numbers are 208 and 209

SOLUTION:

Given, the left and right page numbers of an open book are two consecutive integers whose sum is 417.  

We need to find these page numbers.  

Let, the left page number value be x

Then, the right page number value becomes x + 1, because right page comes after the left page while numbering and as they are consecutive, value of right page number is greater than left page number.

Now, according to the given information,  

left page number + right page number = 417

x + (x + 1) = 417

x + x + 1 = 417

2x + 1 = 417

2x = 417 – 1

2x = 416

x =

x = 208

left page number is 208

Now, right page number is (x + 1) = 208 + 1 = 209

Hence, the page numbers are 208 and 209

the range is 19

step-by-step explanation:

the range is biggest number minus the smallest, so in this case it would be

41 - 22 = 19