The product of John's age is 5 years ago with his age 9 years later is 15. Find his present age.
thanks.
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Answered by
3
Answer:6 years
Step-by-step explanation:
Le the present age be x.
A.T.Q.
(x-5)*(x+9)=15
x²-5x+9x-45=15
x²+4x-45-15=0
x²+4x-60=0
x²+10x-6x-60=0
x(x+10)-6(x+10)=0
(x+10)(x-6)=0
Possible ages=-10,6
As, age cannot be negative, the present age of John is 6 years.
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⎟⎟ ✪✪ QUESTION ✪✪⎟⎟
ᴛʜᴇ ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴊᴏʜɴ's ᴀɢᴇ ɪs 5 ʏᴇᴀʀs ᴀɢᴏ ᴡɪᴛʜ ʜɪs ᴀɢᴇ 9 ʏᴇᴀʀs ʟᴀᴛᴇʀ ɪs 15. ғɪɴᴅ ʜɪs ᴘʀᴇsᴇɴᴛ ᴀɢᴇ.
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⎟⎟ ✰✰ ANSWER ✰✰ ⎟⎟
★ ʟᴇᴛ ᴛʜᴇ ᴊʜᴏɴ's ᴀɢᴇ ɪs = x
➡ (x - 5) × (x + 9) = 15
➡ x² + 5x + 9x - 45 = 15
➡ x² + 4x - 60 = 0
➡ x² + 10x - 60x - 60 = 0
✿✿ ɴᴏᴡ ғᴀᴄᴛᴏʀɪsᴇ ʟ.ʜ.s. ✿✿
➡ x² + 10x - 6x - 60 = 0
➡ x (x + 10) - 6 (x + 10) = 0
➡ (x - 6) (x + 10) = 0
➡ x = 6 or x = -10
x ᴠᴀʟᴜᴇ sʜᴏᴜʟᴅ ɴᴏᴛ ʙᴇ ɴᴇɢᴀᴛɪᴠᴇ.
.°. ᴛʜᴇ ᴘʀᴇsᴇɴᴛ ᴀɢᴇ ᴏғ ᴊʜᴏɴ ɪs = 6 ʏᴇᴀʀs
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