Question

Rs 480 are distributed equally among some students. If 10 students are less then each will get Rs 4 more. Find the total no of students and the amount each gets in the starting.

Answer 1

Answer:

x=20 children

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