Question

a certain amount is equally distributed among certain number of students each would get ₹2 less if 10 student where more and each would get ₹ 6 more if 15 student were less. find the number of student and the amount distributed​

Answer 1

Answer:

Step-by-step explanation:

X students and each can be given Y rupees.

Now,

Each would get rs. 2 less if 10 students were more => (X+10) students would get each (Y-2)

Amount= (X+10)*(Y-2)

Each would get rs. 6 more if 15 students were less=> (X-15) students would get each (Y+6)

Amount= (X-15)*(Y+6)

(X+10)*(Y-2)=(X-15)*(Y+6)

XY-2X+10Y-20=XY+6X-15Y-90

8X-25Y=70. eq1

Similarly

XY=(X+10)*(Y-2)

XY=XY-2X+10Y-20

2X-10Y=-20.

2X*4–10Y*4=-80 Eq2

Using eq1 and 2

X=40

Y=10

ANS : INITIAL STUDENTS: 40

TOTAL MONEY = 400

EACH WOULD HAVE GOT 10

Answer 2

Answer:

400

Step-by-step explanation: