Math, asked by renukadeshpande26, 9 months ago

A cottage industry produces a certain number of potterias in a day. It was found
that the cost of production of each article 5 more than twice the number of
potteries produced in a day. If the cost of production on that day was ₹168,
the number of potteries produced.​

Answers

Answered by vishwadevanathan
5

Answer:

x = 6

Step-by-step explanation:

sorry in advance for poor quality of picture

but answer is perfect my friend

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Answered by Anonymous
8

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Let us say, the two consecutive positive integers be x and x + 1.

Therefore, as per the given questions,

x2 + (x + 1)2 = 365

⇒ x2 + x2 + 1 + 2x = 365

⇒ 2x2 + 2x – 364 = 0

⇒ x2 + x – 182 = 0

⇒ x2 + 14x – 13x – 182 = 0

⇒ x(x + 14) -13(x + 14) = 0

⇒ (x + 14)(x – 13) = 0

Thus, either, x + 14 = 0 or x – 13 = 0,

⇒ x = – 14 or x = 13

since, the integers are positive, so x can be 13, only.

∴ x + 1 = 13 + 1 = 14

Therefore, two consecutive positive integers will be 13 and 14.

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