Question

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first will be mark as brainliest​

Answer 1

Answer:

50

Step-by-step explanation:

Let the number of students be x.

Given that 300 orange are distributed equally.

So, number of oranges received by each student = (300/x).

Given, if there are 10 students more.

Then, number of oranges received by each student = (300/x + 10).

Now,

Given that he would have received 1 orange less.

⇒ (300/x) - (300/x + 10) = 1

⇒ (300x + 3000 - 300x)/x(x + 10) = 1

⇒ 300x + 3000 - 300x = x(x + 10)

⇒ x(x + 10) = 3000

⇒ x² + 10x - 3000 = 0

⇒ x² + 60x - 50x - 3000 = 0

⇒ x(x + 60) - 50(x + 60) = 0

⇒ (x - 50)(x + 60) = 0

⇒ x = 50, -60{It cannot be negative, x≠-60}

⇒ x = 50.

Therefore, number of students is 50.

Hope it helps!

Answer 2

Number of students = x

Total apples = 300

Apple for each =300/x

Present number of students=x+10

Apples for each = 300/x+10

1 apples less

300/x-300/x+10=1

Final equation = x²+10x-3000=0

x²+60x-50x-3000=0

x(x+60)- 50(x+60)=0

(x+60)(x-50)=0

x+60=0,. x=-60

x-50=0

x= 50