A number consists of 2 digit whose sum is 8 .if 18 is added to the number its digits are reversed. find the number.
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ʜᴇy ᴅᴇᴇᴩᴀɴꜱʜɪ
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ʟᴇᴛ ᴛʜᴇ ᴅɪɢɪᴛ ᴀᴛ ᴏɴᴄᴇ ᴩʟᴀᴄᴇ ʙᴇ x
ᴀɴᴅ ᴛʜᴇ ᴅɪɢɪᴛ ᴀᴛ ᴛᴇɴꜱ ᴩʟᴀᴄᴇ =(8-x)
ᴏʀɪɢɪɴᴀʟ ɴᴜᴍʙᴇʀ =x+10(8-x)
=x+80-10
=80-9x
ᴀꜰᴛᴇʀ ᴅɪɢɪᴛꜱ ɪɴᴛᴇʀᴄʜᴀɴɢᴇᴅ
ɴᴜᴍʙᴇʀ= 10x+(8-x)
=9x+8
ᴀᴛq
80-9x+18=9x+8
90=18x
90/18=x
5=x
ꜱᴏ ᴛʜᴇ ᴏɴᴄᴇ ᴅɪɢɪᴛ =x ɪᴇ 5
ᴀɴᴅ ᴛᴇɴꜱ ᴅɪɢɪᴛ=(8-x) ɪᴇ (8-5)
=3
ᴛʜᴇ ɴᴜᴍʙᴇʀ ɪꜱ 53
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ʜᴏᴩᴇ ɪᴛ ʜᴇʟᴩꜱ..
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ʟᴇᴛ ᴛʜᴇ ᴅɪɢɪᴛ ᴀᴛ ᴏɴᴄᴇ ᴩʟᴀᴄᴇ ʙᴇ x
ᴀɴᴅ ᴛʜᴇ ᴅɪɢɪᴛ ᴀᴛ ᴛᴇɴꜱ ᴩʟᴀᴄᴇ =(8-x)
ᴏʀɪɢɪɴᴀʟ ɴᴜᴍʙᴇʀ =x+10(8-x)
=x+80-10
=80-9x
ᴀꜰᴛᴇʀ ᴅɪɢɪᴛꜱ ɪɴᴛᴇʀᴄʜᴀɴɢᴇᴅ
ɴᴜᴍʙᴇʀ= 10x+(8-x)
=9x+8
ᴀᴛq
80-9x+18=9x+8
90=18x
90/18=x
5=x
ꜱᴏ ᴛʜᴇ ᴏɴᴄᴇ ᴅɪɢɪᴛ =x ɪᴇ 5
ᴀɴᴅ ᴛᴇɴꜱ ᴅɪɢɪᴛ=(8-x) ɪᴇ (8-5)
=3
ᴛʜᴇ ɴᴜᴍʙᴇʀ ɪꜱ 53
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ʜᴏᴩᴇ ɪᴛ ʜᴇʟᴩꜱ..
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