Question

The HCF of two numbers is 23 and LCM is 323. If obe of the number lies between 200 and 400 then find the sum of digits of other number​

Answer 1

Answer:

ʟᴇᴛ ᴛʜᴇ ɴᴜᴍʙᴇʀꜱ ʙᴇ 21ᴀ ᴀɴᴅ 21ʙ, ᴡʜᴇʀᴇ ᴀ ᴀɴᴅ ʙ ᴀʀᴇ ᴄᴏ-ᴘʀɪᴍᴇꜱ.

ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ʟᴄᴍ×ʜᴄꜰ=ᴘʀᴏᴅᴜᴄᴛ ᴏꜰ ᴛᴡᴏ ɴᴜᴍʙᴇʀꜱ, ᴛʜᴇʀᴇꜰᴏʀᴇ, ᴡᴇ ʜᴀᴠᴇ,

21ᴀ×21ʙ=(21×4641)

⇒441ᴀʙ=21×4641

⇒ᴀʙ=

441

21×4641

⇒ᴀʙ=221

ᴛᴡᴏ ᴄᴏ-ᴘʀɪᴍᴇꜱ ᴡɪᴛʜ ᴘʀᴏᴅᴜᴄᴛ 221 ᴀʀᴇ 13 ᴀɴᴅ 17.

ᴛʜᴇʀᴇꜰᴏʀᴇ, ᴛʜᴇ ʀᴇQᴜɪʀᴇᴅ ɴᴜᴍʙᴇʀ ɪꜱ (21×13,21×17)=(273,357)

ʜᴇɴᴄᴇ, ᴛʜᴇ ᴛᴡᴏ ɴᴜᴍʙᴇʀꜱ ᴀʀᴇ 273 ᴀɴᴅ 357.

Step-by-step explanation:

ᎻϴᏢᎬ ᎷᎽ ᎪΝՏᏔᎬᎡ ᏆՏ ᎻᎬᏞᏢҒႮᏞ ҒϴᎡ ᎽϴႮ (◕ᴗ◕✿)