certain amount is equally distributed among certain number of students

1.	certain amount is equally distributed among certain number of students. Each would get ?2less if 10 students were more and each would getnumber of students and the amount distributed.) A6 more if 15 students were less. Find the
Answer» Let us assume ,there are 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. 2X4–10Y*4=-80 Eq2 Using eq1 and 2 X=40 Y=10 ANS : INITIAL STUDENTS: 40 TOTAL MONEY = 400 EACH WOULD HAVE GOT 10

certain amount is equally distributed among certain number of students. Each would get ?2less if 10 students were more and each would getnumber of students and the amount distributed.) A6 more if 15 students were less. Find the

Answer»

Let us assume ,there are

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