Question

find the number whose sum is 27 and product is 182....​

Answer 1

Answer:

13 & 14

Step-by-step explanation:

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Answer 2

✏ Solution :

Let first number be x

and second number be (27 − x)

According to given condition, the product of two numbers is 182.

Therefore,

x × (27 − x) = 182

⇒27x - x² = 182

⇒x² - 27x + 182 = 0

⇒x² - 14x - 13x + 182 = 0

⇒x (x − 14) – 13 (x − 14) = 0

⇒(x − 14) (x − 13) = 0

⇒x = 14, 13

Therefore, the first number is equal to 14 or 13.

Now let us find second number which is equal to (27 - x)

⇒ 27 - 14 = 13

⇒27 - 13 = 14

Hence, two numbers are 13 and 14.

✏Verification :

• Sum of numbers = 13 + 14 = 27

• Product of numbers = 13 × 14 = 182