Question

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A sum of money was divided to some students. Had there been six students more,each would get a yen less and if there had been four students less each would get a yen more. What are the sum of money and number of persons????​

Answer 1

Step-by-step explanation:

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