naveengupta Jun 26th, 2007 ans is 60 benches let x=no of benches y=no of students per benchgiven x*y=600,---------(1)and given that 10 benches are less hence 2 students are seated more than per bench then600=(x-10)*(y+2)600=xy+2x-10y-20------------(2)since xy=600then eq(2) is2x-10y=202x-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=x600/x=(600/(x-10))-2equating Thiswe get 2x^2-20x-6000=0 =>x=60 or -50hense x=60(no of benches)

SAUREEN ADANI Profile Answers by SAUREEN ADANI Jun 10th, 2010 10*60=60012*50=600it 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)=600ab-10b+2a-20=600we knw ab=600so 2a-10b=202a-10*600/a=20solve quadratic eq. we get a=60 b=10

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

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Answered by: naveengupta

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

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