Question
A book is between 400 and 450 pages. If we count them 2 at a time there is none left over, if we count them 5 at a time there is none left over and if we count them 7 at a time there are none left over, how many pages does the book have?
221
likes1105 views
Answer to a math question A book is between 400 and 450 pages. If we count them 2 at a time there is none left over, if we count them 5 at a time there is none left over and if we count them 7 at a time there are none left over, how many pages does the book have?
Neal
4.5104 Answers
To find the number of pages in the book, we need to find the least common multiple (LCM) of the numbers 2, 5, and 7. The LCM is the smallest multiple that is divisible by all three numbers.
LCM(2, 5, 7) = LCM(LCM(2, 5), 7) = LCM(10, 7)
Now, let's find the LCM of 10 and 7. We can use the following formula to find the LCM:
LCM(a, b) = (a * b) / GCD(a, b)
Here, GCD represents the greatest common divisor.
GCD(10, 7) = 1 (since 10 and 7 are relatively prime)
Now, we can find the LCM:
LCM(10, 7) = (10 * 7) / 1 = 70
So, the book has 70 pages.
Frequently asked questions (FAQs)
What is the average weight of the 20 fish caught by a group of fishermen, if their weights ranged from 5 to 15 pounds?
+
What is the dimension of the vector space spanned by the basis {v1, v2, v3, ...} of vectors?
+
What is the median of the following data set: 5, 8, 10, 12, 15?
+
New questions in Mathematics