Help please

Question

The left and right page numbers of an open book are two consecutive integers whose sum is 37. Find these page numbers.

Answer 1

Hi Averie,

 

The left and right page numbers of an open book are two consecutive integers whose sum is 37. Find these page numbers.

 

First, we need to define the variables.

 

Let x=the 1st integer

Let x+1=the 2nd integer

 

To find the sum, add them together:

 

x + x+1=37

 

Combine like terms

 

2x+1=37

 

Add -1 to both sides

 

2x=36

 

divide both sides by 2

 

x=18

 

then, x+1=18+1=19

 

ANSWER:  The consecutive integers are 18 and 19.

 

We're finished!

Answer 2

Let n = left page number

 

The n + 1 = right page number

 

The sum of the numbers is 37

 

n + n + 1 = 37

 

2n +1 = 37

 

2n = 36

 

n = 18,  n+1 = 19