Answer:
Aiden has read 110 pages on day three.
Step-by-step explanation:
Given:
Number of pages he read = 458
Let the number of pages read on Day 1 be [tex]'x'[/tex].
Also Given:
On day two,he reads twice the number of pages than he read on day one.
so we can say that;
Number of pages read on Day 2 = [tex]2x[/tex]
Now Given:
On the third day,he reads six pages less than what he read on the first day.
so we say that;
Number of pages read on Day 3 = [tex]x-6[/tex]
we need to find the Number of pages read on Day 3.
Now we know that;
Total number of pages he read is equal to sum of number of pages read on Day 1, Number of pages read on Day 2 and Number of pages read on Day 3.
framing in equation form we get;
[tex]x+2x+x-6=458\\\\4x-6=458[/tex]
Adding both side by 6 using Addition property we get;
[tex]4x-6+6=458+6\\\\4x=464[/tex]
Now By Using Division property we will divide both side by 4 we get;
[tex]\frac{4x}{4}=\frac{464}{4}\\\\x=116 \ pages[/tex]
Number of pages read on 1 day = 116 pages.
Number of pages read on Day 3 = [tex]x-6 =116-6 =110\ pages[/tex]
Hence Aiden has read 110 pages on day three.