2x articles cost rs (5x + 54)and (X + 2) similar articles cost rs (10x - 4) find x
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Answer:
6
Step-by-step explanation:
This can be solved by comparing cost of one article in each case.
So,
(5x+54)/2x = (10x-4)/(x+2)
Cross multiplying,
5x²+64x+108 = 20x² - 8x
Simplifying,
15x²-72x-108=0
5x²-24x-36=0 ... (Divided by 3)
5x²-30x+6x-36=0
5x(x-6) + 6(x-6) =0
(x-6)(5x+6)=0
x= 6 or x= -6/5
Since number of articles cannot be negative,
Answer will be x=6
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