Question

11. Rs. 480 is divided equally among 'x' children. If the number of children were 20
more, then each would have got Rs. 12 less. Find.
(ii) Each would have got Rs. 12 less, then the quadratic equation formed is
Quadratic form

Answer 1

Answer:

No. of children=x

Total amount=480

Amount each children get =

x

480

Given if children +20=x+20

Amount each child gets

x

480

−12

We know that (

x

480

−12)(x+20)=480

(480−12x)(x+20)=480x

480x+9600−12x

2

−240x=480x

12x

2

+240x−9600=0

x

2

+20x−800=0

x

2

+40x−20x−800=0

x(x+40)−20(x+40)=0

(x−20)(x+40)=0

x=+20x=−40

x=−40 is not possible

∴x=20 children