Question

A certain amount is equal distributed among certain number of students. each would get rs 2 less if 10 students were more and each would get rs6 if 15 students were less. find the no of students and the amount distributed

Answer 1

Answer:  The number of students = 40

The amount distributed to each student = 10 rupees

Step-by-step explanation:

Let, initially there are x students and y be the amount each student get,

Thus, the total amount = xy

According to the question,

(x+10)(y-2) = xy

⇒ x y + 10y - 2x - 20 = xy

⇒ 10 y - 2x = 20 ---------(1)

Again by the question,

(x-15)(y+6) = xy

⇒ xy - 15y + 6x - 90 = xy

⇒ -15y + 6x = 90 -------(2)

By solving equation (1) and (2),

x = 40 and y = 10

Hence, the number of students = x = 40

And, the amount each student gets = y = 10 rupees

Answer 2

Answer:

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