Question

James bought a certain number of sweets from a sweet shop for ₹180. Robin spent the same amount to buy 3 sweets more than James from another shop by paying ₹2 less for each sweet. How many sweets did James buy?

Answer 1

Answer:

Step-by-step explanation:

James bought x sweets for Rs 180 so he paid 180/x per sweet

Robin bought for the same money (Rs 180) 3 more sweets(x+3) and paid 2Rs less (180/x -2 )

thus

180/( 180/x -2) = x+3

180/( (180 -2x)/x ) = x +3

180x/(180 -2x) = x+3

90x/(90 -x) = x +3

90x = (x+3)(90 -x) =-(x+3)(x-90)

90x = -(x^2 -87x -270)

x^2 -87x -270 + 90x = 0

x^2 +3x - 270 = 0

x^2 +18x -15x -270 =0

x(x+18) -15(x-18) = 0

(x+18)(x-15) = 0

x = 15 or -18

x is positive thus must be 15

number of sweets James bought = 15

PLZ MARK AS BRAINLIEST