Question

2x articles cost ₹(5x+54)and(x+2)similar article cost ₹(10x-4)find x

Answer 1

Let's think if one article's cost is y
Then 2x articles cost,
2xy = 5x+54
and (x+2) articles cost,
(x+2)y = 10x-4

Let's devide both equations,
2x/(x+2) = (5x+54)/(10x-4)
2x(10x-4) = (x+2)(5x+54)
20x² - 8x = 5x² + 54x + 10x + 108
15x² - 72x - 108 = 0
5x² - 24x - 36 = 0
5x² - 30x + 6x - 36 = 0
5x(x-6) + 6(x-6) =0
(5x+6)(x-6)=0
So 5x+6 = 0 or x-6 = 0
So x = -6/5 or x=6
X should not be negative
therefore
x=6