Question

In 10th class if 3 students on each bench 1 student will be left. if 4 students sit on each bench, 1 will be left. find the no. of students and the no. of benches in the class?​

Answer 1

Answer:

let no.of benches=x students=y

if 3 students sit on each bench 1 student will be left

y=3x+1..............1

if 4 students sit on each bench one bench will be left

y=4(x-1)...........2

on resolving 1and 2

x=5 y=16

no.of benches=5

no.of students=16

Step-by-step explanation:

MARK BRAINLIEST AND FOLLOW ME

Answer 2

Step-by-step explanation:

${\huge{\bold{\orange{\underline{ANSWER:}}}}}$

Let the number of students in the class be x and number of benches in the class be y.

According to the question,

3y+1=x

x−3y=1 …… (1)

Also,

(y−1)4=x

4y−4=x

x−4y=−4 …… (2)

Solving equations (1) and (2), we get

x=16 and y=5

Hence, the number of students in the class is 16 and the number of benches in the class is 5.