600 people are there 10 benches fell short so on each bench 2 extra members were made to sit find

ans= 50 benches. take no of benches= x. benches required to seat 600 people =x+10. No of people per bench= 600/(x+10). Now, 10 benches short. no of people per bench= [600/(x+10)]+2= 600/x. solve for x to get the result.
12 years agoHelpfull: Yes(9) No(2)
let there are x benches and in every benches n number of the students sit
now the two equation on the basis of question will be formed
xn+10n=600 ------(1)
x(n+2)=600 ------(2)
on solving these two we get x= 50
which are actually the no of the benches
11 years agoHelpfull: Yes(5) No(1)
Go with options...as all said answer is 50...so let us check weather it is right or not.
50 benches are there in the class....each bench are increased by 2...so 50*2=100.
10 benches short...that 100 people should sit in 10 benches...that means each bench = 10.
so... now
50 benches = 50*10=500 + 10 benches = 10*10=100
500+100=600 which is equal to 600 people. so 50 is right answer.
9 years agoHelpfull: Yes(0) No(0)

. 600 people are there.10 benches fell short so on each bench 2 extra members were made to sit. find the no. of benches.