Question

Find two numbers whose sum and product is27 and 182 respectively 10th class

Answer 1

the answer of your question is 13 and 14
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Answer 2

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Answer:

13 and 14 are the numbers.

Step-by-step explanation:

sum of the numbers is 27.

            Let one of the numbers be x.

            ∴ Other number = 27 – x

            According to the condition,

            Product of the numbers = 182

            ⇒ x (27 – x) = 182

            ⇒ 27x – x^2 = 182

            ⇒ –x^2 + 27x – 182 = 0

            ⇒ x^2 – 27x + 182 = 0

            ⇒ x^2 – 13x – 14x + 182 = 0 –27 = (–13) + (– 14) and

            ⇒ x (x – 13) – 14 (x – 13) = 0 (– 13) × (– 14) = 182

            ⇒ (x – 13) (x – 14) = 0

            Either x – 13 = 0 ⇒ x = 13

            or x – 14 = 0 ⇒ x = 14

            Thus, the required numbers are 13 and 14.

Hope it helps u.