Question

Oranges were equally distributed among certain number of men. If there were 10 more men then each received 2 oranges less and if there were 15 less men then each would have received 6 more oranges. Find the total number of oranges distributed​

Answer 1

Step-by-step explanation:

let's assume the number of oranges each man recieved initially to be x and the number of men to be y

xy = ((x-2)(y+10))...(1)

xy = ((x+6)(y-15))...(2)

for (1),

xy = xy + 10x -2y -20

10x - 2y = 20...(1)

for (2),

xy = -15x + 6y - 90 + xy

15x - 6y = -90...(2)

multiply (1) by 3 for elimination;

30x - 6y = 60

15x - 6y = -90

__________

15x = 150

x = 10 (put this value in (1))

100 - 2y = 60

2y = 100 - 60

y = 20

now the number of oranges = xy = 10 * 20 = 200