Wren and Jenni are reading the same book. Wren is on page 14 and reads 2 pages every night.

Jenni is on page 6 and reads 3 pages every night.

After how many nights will they have read the same number of pages?

How many pages will that be?

1 answer

To find out after how many nights they will have read the same number of pages, we need to find the least common multiple (LCM) of 2 and 3.

The multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, ...

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

As we can see, the first number they both have in common is 6, so after 6 nights they will have read the same number of pages.

To find out how many pages they will have both read, we can calculate: 6 pages + 2 pages/night * 6 nights = 6 + 12 = <<6+12=18>>18 pages.

Therefore, after 6 nights, Wren and Jenni will both have read 18 pages.