Question

300 appels are distributed if their are 10 more students then one apple given less find no. of students

Answer 1

Let the total number of students be x

So, 300/x - 300/(x+10) = 1

1/x - 1/(x+10) = 1/300

(x+10-x) / x²+10x = 1/300

3000 = x²+10x

x² + 10x - 3000 = 0

x² + 60x - 50x - 3000 = 0

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

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

x = 50. -60

Ignoring the negative value

we get x as 50.

Hence the total students were 50.

Answer 2

Let the original number of students be x

Number of apples received by each student = $\sf{\frac{300}{x}}$

Increased number of students = x + 10

Number of apples received by each student = $\sf{\frac{300}{x+10}}$

A/C,

$\sf\red{\frac{300}{x} - \frac{300}{x + 10} = 1}$

$\longrightarrow$$\sf\red{300x + 3000 - 300x = x(x + 10)}$

$\longrightarrow$$\sf\red{ {x}^{2} + 10x - 3000 = 0}$

$\longrightarrow$$\sf\red{(x - 50)(x + 60) = 0}$

$\longrightarrow$$\sf\red{x = 50 \: or \: x = - 60}$

As the number of students cannot be negative, x ≠ -60 ,so x = 50

Hence, the original number of students = 50.