Advertisements
Advertisements
प्रश्न
300 apples are distributed equally among a certain number of students. Had there been 10 more students, each would have received one apple less. Find the number of students.
Advertisements
उत्तर
Let the total number of students be x. According to the question:
`300/x-300/(x+10)=1`
⇒`(300(x+10)-300x)/(x(x+10))=1`
⇒`(300x+3000-300x)/(x^2+10x)=1`
⇒`3000=x^2+10x`
⇒`x^2+10x-3000=0`
⇒`x^2+(60-50)x=3000=0`
⇒`x^2+60x-50x-3000=0`
⇒`x(x+60)-50(x+60)=0`
⇒`(x+60)(x-50)=0`
⇒`x=50 or x=-60`
x cannot be negative; therefore, the total number of students is 50.
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
