Answer:
Step-by-step explanation:
emily : 16 + 22x....with x being the number of days
Lily : 24 + 18x
16 + 22x = 24 + 18x
22x - 18x = 24 - 16
4x = 8
x = 8/4
x = 2 <==== they will be on the same page in 2 days
16 + 22x = 16 + 22(2) = 16 + 44 = 60
24 + 18x = 24 + 18(2) = 24 + 36 = 60
and they will both be on page 60 <===
They are both in page 60
Let the number of days that they used in reading till they are on the same page be represented by x.
Since Emily has already read 16 pages. Emily reads 22 pages per day until the book is finished. This can be represented as:
Emily = 16 + (22 × x) = 16 + 22x
Lily has already read 24 pages and she reads 18 pages per day until the book is finished. This can be represented as:
Lily = 24 + (18 × x) = 24 + 18x
Then, we will equate the two equations and this will be:
16 + 22x = 24 + 18x
Collect like terms
22x - 18x = 24 - 16
4x = 8
Divide both side by 4
4x/4 = 8/4
x = 2
Therefore, the number of days will be in 2 days time.
Then the page number will be gotten by choosing any of the equations and this will be:
= 16 + 22x
= 16 + 22(2)
= 16 + 44.
= 60
Also, 24 + 18x will be:
= 24 + 18(2)
= 24 + 36
= 60
They are both in page 60
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