Question

song of the age of two friends is 20 years forever the product of 48
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Answer 1

ʟᴇᴛ ᴀɢᴇ ᴏғ ғɪʀsᴛ ғʀɪᴇɴᴅ ʙᴇ x

sᴜᴍ ᴏғ ᴀɢᴇ ᴏғ ᴛᴡᴏ ғʀɪᴇɴᴅs = 20 ʏᴇᴀʀs

sᴏ, ᴀɢᴇ ᴏғ sᴇᴄᴏɴᴅ ғʀɪᴇɴᴅ = (20 - x)

ғᴏᴜʀ ʏᴇᴀʀs ᴀɢᴏ,

ᴀɢᴇ ᴏғ ғɪʀsᴛ ғʀɪᴇɴᴅ = x - 4

ᴀɢᴇ ᴏғ sᴇᴄᴏɴᴅ ғʀɪᴇɴᴅ = (20 - x) - 4 = 16 - x

ɢɪᴠᴇɴ : ғᴏᴜʀ ʏᴇᴀʀs ᴀɢᴏ, ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴛʜᴇ ᴀɢᴇ ᴏғ ᴛᴡᴏ ғʀɪᴇɴᴅs = 48 ʏᴇᴀʀs

ᴀ/ϙ

=> (x - 4) (16 - x) = 48

=> x (16 - x) - 4 (16 - x) = 48

=> 16x - x² - 64 + 4x = 48

=> - x² + 16x + 4x - 64 - 48 = 0

=> - x² +20x - 112 = 0

=> x² - 20x + 112 = 0

ɴᴏᴡ,

ᴄᴏᴍᴘᴀʀɪɴɢ ᴛʜᴇ ᴇϙᴜᴀᴛɪᴏɴ ᴡɪᴛʜ ᴀx² + ʙx + ᴄ

ᴀ = 1

ʙ = -20

ᴄ = 112

ᴡᴇ ᴋɴᴏᴡ,

ᴅ = ʙ² - 4ᴀᴄ

= (-20)² - (4 × 1 × 112)

= 400 - 448

= - 48

sɪɴᴄᴇ,

ᴅ < 0 ( ɴᴏ ʀᴇᴀʟ ʀᴏᴏᴛs )

ʜᴇɴᴄᴇ,

ɪᴛ ɪs ɴᴏᴛ ᴘᴏssɪʙʟᴇ ᴛᴏ ᴅᴇᴛᴇʀᴍɪɴᴇ ᴛʜᴇɪʀ ᴘʀᴇsᴇɴᴛ ᴀɢᴇ.