frustrated with his consistent low scores in mathematics, pradeep tore off a certain number of consecutive leaves from his Maths book. Each leaf is numbered on either side and is considered to be two pages. The sum of page nos. is 720, how many pages did he tear off?
Answers
Answer:
Step-by-step explanation:
I beleive Question misses some information
as it can be page numbers
359 & 361 Then total = 4 pages
238 , 240 , 242 Then Total = 6 Pages
177 , 179 , 181 , 182 , then total = 8 pages
in this way there can be different cases
so we can not get any unique solution.
Answer:
Step-by-step explanation:
Let the number of pages that Pradip tore off be n and let the number of the first of these be a. n/2[2a + (n – 1)d] = 720 where d = 1
n[2a + n – 1] = 1440
The number of pages n= twice the number of leaves.
2a + n – 1 has to be odd.
a ≥ 1
n < 2a + n – 1.
n = 32 and 2a + n – 1 = 45 follows. a = 7.
Pradip tore off the 32 pages numbered 7, 8, .... 38.
The total is ((7+38))/2)(32) = 720.
the number of pages torn is 32