Question

Please help!!!!!!!


Sam counted the lines of a page in his book. Counting by threes gave a remainder of 2, counting by fives also gave a remainder of 2, and counting by sevens gave a remainder of 5. How many lines were on the page?

Show work.

Answer 1

I think this needs modular arthemetic. So @mukushla could help

Answer 2

x MOD 3=2
x MOD 5=2
x MOD 7=5

Answer 3

What's mod?

Answer 4

@mukushla u busy?

Answer 5

yeah we can use mods but lets think easier

Answer 6

let the number of pages be n

Answer 7

Ok

Answer 8

Counting by threes gave a remainder of 2 so n=3k+2

Answer 9

CRT have fun

Answer 10

counting by fives also gave a remainder of 2 so n=5j+2

Answer 11

tried that 4 unknowns.,3 equations....

Answer 12

what am i doin???

Answer 13

Ya. agreed with @hartnn

Answer 14

@satellite73 come here plz :)

Answer 15

Anyone found the answer?

Answer 16

I think there are infinite number of answer

Answer 17

What's one of them?

Answer 18

47

Answer 19

I have figured it out that the last digit must be 7

Answer 20

i think they mean to find minimum number of pages and so going with trial and error

Answer 21

agreed, minimum and trial and error.

Answer 22

I think they are looking for the number of lines in one page.

Answer 23

257

Answer 24

Explain

Answer 25

The last digit must be 7

Answer 26

have u figured that out

Answer 27

47

Answer 28

Actually I think I can give the general term too.

Answer 29

I am confused, what's the right answer?