Math, asked by vineetpal1803, 10 months ago

300apples are distributed eqally among a certain number of student had there been 10 more student ,each would have received one apple less.find the no.of student?​

Answers

Answered by VIGYAS
1

Step-by-step explanation:

ANSWER

Let the number of students be x.

Then, the number of apples received by each student is

x

300

.If there are 10 more students, i.e. (x+10) students.

Then, the number of apples received by each student is

x+10

300

.

According to the question,

x

300

x+10

300

=1

x(x+10)

300x+3000−300x

=1

⇒3000=x

2

+10x

⇒x

2

+10x−3000=0

⇒x

2

+60x−50x−3000=0

⇒x(x+60)−50(x+60)=0

⇒(x+60)(x−50)=0

⇒x=−60 or x=50

But the number of students can not be negative.

Hence, the number. of students is 50.

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