Question

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

Answer 1

Answer:

Let the first number be x and the second number is 27 - x. It is given that the product of these numbers is 182. Therefore, the numbers are 13 and 14.

Step-by-step explanation:

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Answer 2

Given :  two whole numbers whose sum is 27 and product is 182.

To Find :  numbers

Solution:

Let say two numbers are

x    &  y

x  + y  = 27

=> y = 27 - x

xy = 182

=> x (27 - x)  = 182

=> 27x - x² = 182

=> x² - 27x + 182 = 0

using middle term split

=> x² - 13x - 14x + 182 = 0

=> x(x - 13) - 14(x - 13) = 0

=> (x - 13)(x-14) = 0

=> x = 13  , x = 14

y = 27 - x

=> if x = 13 then y = 27 - 13 = 14    ( 13 , 14 are two numbers )

or

=> if x = 14 then y = 27 - 14 = 13    ( 14 , 13 are two numbers )

Hence two numbers are 13 & 14

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