Question

Find two numbers whose sum is 27 and product is 182

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Answer 1

Answer:

sum of two numbers be 27

sum of two numbers be 27 let one number be "x" other number be ' 27 - x '

product of two numbers = 182

x (27 - x) = 182

27x - x² = 182

x² - 27 +182 =0

x² - 14x - 13x + 182 = 0

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

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

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

x = 14 or x = 13

x = 14,13

Therefore two numbers are 14,13 ( or ) 13,14 .

hope this helps you

Answer 2

Step-by-step explanation:

sᴜᴍ ᴏғ ᴛᴡᴏ ɴᴜᴍʙᴇʀs ʙᴇ 27

sᴜᴍ ᴏғ ᴛᴡᴏ ɴᴜᴍʙᴇʀs ʙᴇ 27 ʟᴇᴛ ᴏɴᴇ ɴᴜᴍʙᴇʀ ʙᴇ "x" ᴏᴛʜᴇʀ ɴᴜᴍʙᴇʀ ʙᴇ ' 27 - x '

ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴛᴡᴏ ɴᴜᴍʙᴇʀs = 182

x (27 - x) = 182

27x - x² = 182

x² - 27 +182 =0

x² - 14x - 13x + 182 = 0

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

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

x - 14 = 0 ( ᴏʀ ) x - 13 = 0

x = 14 ᴏʀ x = 13

x = 14,13

Tʜᴇʀᴇғᴏʀᴇ ᴛᴡᴏ ɴᴜᴍʙᴇʀs ᴀʀᴇ 14,13 ( ᴏʀ ) 13,14 .