# 600 to be seated. 10 benches are less. 2 more persons are required to be seated in each bench. How many benches.209364460

This question is related to Accenture Interview

• Jun 26th, 2007

ans is 60 benches

let x=no of benches
y=no of students per bench

given
x*y=600,---------(1)

and given that 10 benches are less hence 2 students are seated more than per bench  then

600=(x-10)*(y+2)
600=xy+2x-10y-20------------(2)

since xy=600
then eq(2) is
2x-10y=20

2x-10(600/x)=20

on solving

we get x=60

#### naveengupta

• Jun 26th, 2007

ans is 60 benches

let x=no of benches
y=no of students per bench

given
x*y=600,---------(1)

and given that 10 benches are less hence 2 students are seated more than per bench  then

600=(x-10)*(y+2)
600=xy+2x-10y-20------------(2)

since xy=600
then eq(2) is
2x-10y=20

2x-10(600/x)=20

on solving

we get x=60

#### sibarama Profile Answers by sibarama

• Jun 19th, 2008

ans=60 Explanation:-Let no of benches=x
600/x=(600/(x-10))-2
equating This
we get
2x^2-20x-6000=0
=>x=60 or -50

hense x=60(no of benches)

• Jun 10th, 2010

10*60=600
12*50=600
it means per bench 10 student requirs 60 benches.but 10 are less so that on 50 benches to accomodate 12 per bench. it means 2 more to be seated on each bench. so the answer is 60.

#### prititripathi Profile Answers by prititripathi

• Feb 25th, 2011

given a*b=600

& (a-10)*(b+2)=600

ab-10b+2a-20=600
we knw ab=600
so 2a-10b=20
2a-10*600/a=20
solve quadratic eq. we get a=60 b=10