Question

rs 480 was divided equally among x children .If the Number of children were 20 more ,then each would have got rs12 less. Find x

Answer 1

Total money = Rs 480
Let no. Of children = x
New no. Of children = 20+ x
ATQ .
480/x+20 = 12
480 = 12x + 240
480-240 = 12x
240 = 12x
20 = x
Therefore, no. of children are 20.

Answer 2

no of children=x
1 child receive money=480/x
A)Q
20more children are added
1 child receive money=489/x+20

480/x-480/x+20=12

480(x+20)-480x
____________=12
x(x+20)

480(x+20-x)
___________=12
x²+20x

480×20/12=x²+20x
40×20=x²+20x
800=x²+20x
0=x²+20x-800
0=x²+40x-20x-800
0=x(x+40)-20(x+40)
0=(x+40)(x-20)
let x+40=0 and x-20=0
x=-40 and x=20
since number of children cannot be negative
therefore no of children =20