2x articles cost Rs. (5x + 54) and (x + 2) similar articles cost Rs. (10x - 4) ; Find x.
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If 2x articles cost 5x+54 then the cost of one article=5x+54/2x
If x+2 articles cost 10x-4 then the cost of one article=10x-4/x+2
Now equating the price of one article since they both are same articles, we get-
5x+54/2x=10x-4/x+2
By cross multiplying, we get-
15x²-72x-108=0
So x=6,-36/30
Since articles cannot be negative,
Therefore x=6
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