Math, asked by llma08, 10 months ago

The product of John's age is 5 years ago with his age 9 years later is 15. Find his present age.

thanks.​

Answers

Answered by TigerMan28
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.

Answered by Anonymous
162

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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

+ 5x + 9x - 45 = 15

+ 4x - 60 = 0

+ 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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