Question

A certain amount is distributed equally among certain boys. If there were 5 boys more each would
have received ` 8 less, while if there were 4 boys less, each would have received ` 10 more. Find the
amount distributed and the number of boys.

Answer 1

Answer:

sorry I didn't know about it

Answer 2

Answer:

800 & 40  

Step-by-step explanation:

Number of boys- x

Amount every boy gets - y

Total amount= xy

With 5 boys more amount is: (x+5)(y-8)=xy

With 4 boys less amount is: (x-4)(y+10)=xy

Simplifying the above and also comparing:

1. (x+5)(y-8)=xy =>xy-8x+5y-40=xy => 5y-8x-40=0

2. (x-4)(y+10)=xy=> xy+10x-4y-40=xy => 10x-4y-40=0 => 5x-2y-20=0

3. (x+5)(y-8)=(x-4)(y+10) =>5y-8x-40=10x-4y-40 =>9y=18x =>y=2x

Considering this in first equation we get:

10x-8x=40

2x=40

x=20, y=40, xy=800

So number of boys is 40 and amount is 800

♣ PLEASE MARK THE ANSWER BRAINLIEST ( IF YOU LIKE IT ) ♣