Question

The number of books in a class library is 17 more than 3 times the number of students in the class . If 5 students are absent , each student can borrow exactly 4 books from the library . Find the number of students in the class?​

Answer 1

Answer:

41 students

Step-by-step explanation:

let no. of students be x

1 equation : 17 + 3x = x

2 equation : x - 5 = 4x

step no. 1:

(1) x - 3x = 17

(2) 4x -x = -5

step no. 2:

(1) -2x = 17

(2) 3x = -5

step no. 3:

(-2x = 17) * 3

(3x = -5) * (-2)

step no. 4:

(1) -6x = 51

(2) -x = 10

step no. 5:

-6x = 51

-6x = 10

______

x = 41 Answer

( In step no.5 we will use column method)