The ratio of sum to the LCM of two natural numbers is 7 : 12. If their HCF is 4, then the smaller number is,???
Share
The ratio of sum to the LCM of two natural numbers is 7 : 12. If their HCF is 4, then the smaller number is,???
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
So, let the numbers be 4x and 4y are prime. According to question, The ratio of the sum to the LCM of two natural numbers is 7:12. The numbers are x = 3, y = 4 which satisfy the above condition.... hehe
✍︎ANSWER✍︎
ʟᴇᴛ ᴛʜᴇ ɴᴜᴍʙᴇʀs ʙᴇ 4x ᴀɴᴅ 4ʏ ᴡʜᴇʀᴇ x ᴀɴᴅ ʏ ᴀʀᴇ ᴘʀɪᴍᴇ ᴛᴏ ᴇᴀᴄʜ ᴏᴛʜᴇʀ ʟᴄᴍ =
4xʏ × 4x +4ʏ / 4xʏ
= 7 / 12 × 12 (x + ʏ)
= 7 xʏ x = 3, ʏ = 4
sᴍᴀʟʟᴇʀ ɴᴜᴍʙᴇʀ = 4 × 3 = 12.
━═━═━═━═━═━═━═━═━