Aiden borrows a book from a public library. He read a few pages on day one. On day two, he reads twice the number of pages than he read on day one. On the third day, he reads six pages less than what he read on the first day. If he has read the entire book that contains 458 pages, how many pages did he read on day three?

Question

GPT-4o mini · Answer

Let the number of pages Aiden read on day one be \( x \).

According to the problem:

On day two, he reads twice the number of pages he read on day one, which is \( 2x \).
On day three, he reads six pages less than what he read on the first day, which is \( x - 6 \).

Now, the total number of pages he read over the three days can be expressed as: \[ x + 2x + (x - 6) = 458 \]

Combining the terms gives: \[ 4x - 6 = 458 \]

To isolate \( x \), we first add 6 to both sides: \[ 4x = 458 + 6 \] \[ 4x = 464 \]

Next, we divide both sides by 4: \[ x = \frac{464}{4} = 116 \]

Now that we have the value of \( x \), we can find out how many pages he read on day three: \[ \text{Pages read on day three} = x - 6 = 116 - 6 = 110 \]

Therefore, the number of pages Aiden read on day three is \( \boxed{110} \).