Question

Nora and Lila are reading the same novel for book club. Nora is on page 128 and plans to read 8 pages per day until the next club meeting. Lila

is on page 102 and plans to read 12 pages per day until the next club meeting.

After how many days of reading will Nora and Lila be on the same page of the book? What page will they be on?

NORA AND LIKA WILL BE ON THE SAME PAGE AFTER ____ DAYS OF READING . ON THAT DAY , THEY WILL BITH BE ON PAGE ___

Answer 1

Both will be at the same page after 6.5 days and the page number will be 180.

Explanation:

Let after x days Nora and Lila will be at the same page.

Nora is on page 128 and plans to read 8 pages per day until the next club meeting.

After x days Nora will be at the page number = 128 + 8x

Similarly, Lila is on page 102 and she reads 12 pages per day.

After x days Lila will be on page number = 102 + 12x

Since after x days they will be at the same page

Therefore, 128 + 8x = 102 + 12x

12x - 8x = 128 - 102

4x = 26

x =
`(26)/(4)`

x = 6.5 days

Page number they will be on = 128 + 8(6.5)

= 128 + 52

= 180

Both will be at the same page after 6.5 days and the page number will be 180.