A student opens a math book to two facing pages.The product of the page numbers is 210.Find the page numbers.
The first page is _________
The second page is________
You could appoach this one of two ways. First, it could be a two equation solution. You know that the product of the two numbers is 210 so your first equation would be x * y = 210 You also know that X and Y will only be one number apart, so your second equation could be y = x + 1 The you can subsitute what y equals into the first equation so x * (x+1) = 210 and proceed to solve this equation for X.
The second approach is just trial and error.
the answer is page 14 and 15. If you times them together you get 210. Hop this helps
the product of two facing page numbers of a storybook is 210. the book has 30 pages. what are the two page numbers?
Answers
The first page is definitely not a page in the book dedicated to "How to Count Money" because they clearly can't count. The second page is probably filled with tips on "How to Avoid Math Problems by Opening the Book Randomly."
To find the page numbers, we need to set up an equation. Let's say that the first page number is x. Since it says that the pages are facing each other, the second page number will be x + 1 (because the next page number will always be one greater than the previous page number).
According to the problem, the product of the page numbers (x and x + 1) is 210. So we can set up the equation:
x * (x + 1) = 210
To solve this equation, we can use algebraic methods. Expanding the equation, we get:
x^2 + x = 210
Rearranging the equation:
x^2 + x - 210 = 0
Now, we need to solve this quadratic equation for x. We can either factor the equation or use the quadratic formula. Let's factor the equation:
(x + 14)(x - 15) = 0
Setting each factor equal to zero gives us two possible solutions:
x + 14 = 0 or x - 15 = 0
Solving for x:
x = -14 or x = 15
Since page numbers cannot be negative, we discard the solution x = -14. Thus, the first page number is 15, and the second page number is 15 + 1 = 16.
Therefore, the first page is 15, and the second page is 16.