Question

Alex needs to read a book before his course starts.

The book has 165 pages.
Alex reads the same number of whole pages every day for six days
What is the highest number of whole pages he can read each day?
Show your working.

Answer 1

The value of (2x-2y)^2 is 132.

Explanation:

We know that (2x-2y)^2 = 4(x^2 + y^2 - 2xy)

We can substitute the given values of x^2 + y^2 and xy into the equation above to get:

(2x-2y)^2 = 4(45 - 2*12) = 132

Therefore, the value of (2x-2y)^2 is 132.

To find the highest number of whole pages Alex can read each day, we need to divide the total number of pages in the book by the number of days he has to read it. In this case, Alex has 6 days to read a book with 165 pages.

So, we can divide 165 by 6 to get:

165 / 6 = 27.5

Therefore, Alex can read 27 whole pages each day for six days. However, since he can’t read half a page, he should round down to the nearest whole number. Therefore, the highest number of whole pages he can read each day is 27.