A HCF and lcm of two number and 15 and 2500 respectively if one number is 150 find the other
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ᴇxᴘʟᴀɴᴀᴛɪᴏɴ
Lᴇᴛ ᴛʜᴇ ғɪʀsᴛ ɴᴜᴍʙᴇʀ ʙᴇ a
ᴀɴᴅ ᴛʜᴇ sᴇᴄᴏɴᴅ ɴᴜᴍʙᴇʀ ʙᴇ b
HCF(a , b) = 15 , ʟᴄᴍ(a , b) = 2500
ᴀɴᴅ ᴛʜᴇ ᴏɴᴇ ɴᴜᴍʙᴇʀ ɪs 150
ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ,
ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴛᴡᴏ ɴᴜᴍʙᴇʀs ɪs ᴇǫᴜᴀʟ ᴛᴏ ᴛʜᴇ ᴘʀᴏᴅᴜᴄᴛ ᴏғ ɪᴛs ʜᴄғ ᴀɴᴅ ʟᴄᴍ.
ɴᴏᴡ,
= a × b = ʜᴄғ(a , b) × ʟᴄᴍ(a, b)
= 150 × b = 15 × 2500
= b = 15 × 2500
150
= b = 1 × 2500
10
= b = 250
Sᴏ, ᴛʜᴇ sᴇᴄᴏɴᴅ ɴᴜᴍʙᴇʀ ɪs 250
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