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A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs. 90, find the number of articles produced and the cost of each article.

Asked by Veena 12/06/2019 Last Modified 14/08/2019

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Related Questions

Find two consecutive positive integers, sum of whose squares is 365.

Let the first integer be x & the second be (x + 1). ATQ, x² + (x + 1)² = 365 or x² + x² + 2x +1 = 365 or 2x² + 2x - 364 = 0 or x² + x - 182 = 0 or x² + 14x - 13x...

Pankaj

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Find two numbers whose sum is 27 and product is 182.

Let X and Y be the two numbers.Given, X+Y=27 ---- (1) XY=182-----(2) From(1) Y=27-X Substituting in (2) (27-X)X = 182 27X-X^2 =182 X^2-27X+182=0 On solving the quadratic equation (X-13)(X-14)=0 X=13 or...

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The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.

Let the Base be = x cm then Altitude = (x-7) cm Since it is a right triangle, we can apply the Pythagorean theorem. x(x-12)+5(x-12)=0 (x-12)(x+5)=0 x=12 or x=-5 Since x is base which cannot be...

Suri

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Find the roots of the following quadratic equations by factorisation:

$(i)x^{2}-3x-10=0$

$(ii)\sqrt{2}x^{2}+7x+5\sqrt{2}=0$

$(iii)2x^{2}+x-6=0$

$(iv)2x^{2}-x+\frac{1}{8}=0$

$(v)100x^{2}-20x+1=0$

(i) x² - 3x - 10 = 0 or x² - 5x + 2x - 10 = 0 or x (x - 5) + 2 (x - 5) = 0 or (x + 2) (x - 5) = 0 x = - 2 & x= + 5 (ii) √2x² + 7x + 5√2 = 0 or √2x² + 2x...

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