Question

480 is divided equally among x children. if the number of children were 20 more then each would have got 12 less. find x​

Answer 1

Step-by-step explanation:

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