Tricky Arithmetic Problem
In a sequence of five consecutive numbers, the sum of the first four numbers is 94. What is the fifth number in the sequence?
How many pages are there in the book
Sophia is reading a book. On the first day, she reads 1/5 of the pages plus 12 more. On the second day, she reads 1/4 of the remaining pages plus 15 pages. On the third day, she reads 1/3 of the remaining pages plus 18 pages. After this, she has 1/4 of the book left to read. How many pages are there in the book?
Let's denote the five consecutive numbers as n, n+1, n+2, n+3, n+4.
ReplyDeleteThe sum of the first four numbers is given as:
n + (n+1) + (n+2) + (n+3) = 94
Simplifying this, we get:
4n + 6 = 94
Subtract 6 from both sides:
4n = 88
Divide by 4:
n = 22
So, the numbers are 22, 23, 24, 25, 26.
The fifth number is:
n + 4 = 22 + 4 = 26
The fifth number in the sequence is 26.