Question

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

Answer 1

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Answer 2

Answer:

Hiii mate....

Step-by-step explanation:

Let the first number be X and the second number will be 27 - x

Also given that the product of these numbers = 182

First no.X second no. = 182

X ( 27 - X ) = 182

27X - X2 = 182

0 = X2 - 27X + 182

X2 - 27 X + 182 = 0

we factorise by splitting the middle term method.....

X2 - 13X - 14X + 182 = 0

X ( X -13 ) - 14 ( X - 13 ) = 0

( X - 14 ) ( X - 13 ) = 0

X - 14 = 0 , X - 13 = 0

X = 14 , X = 13

Hence 13 and the 14 are the roots of the equation ....

For X = 13

first number x = 13

second number = 27 - X = 27 - 13

= 14

for x = 14

first number x = 14

second number = 27 - X = 27 - 14

= 13

Hence the two numbers are 13 and the 14 .....

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