Question

Sum of the digits of a number of two digits is 8. When we interchange the digits, we see that the difference between the numbers is 18. Find the original number.

Answer 1

ʟᴇᴛ ᴛʜᴇ ᴅɪɢɪᴛ ᴀᴛ ᴛʜᴇ ᴏɴᴄᴇ ᴩʟᴀᴄᴇ ᴩʟᴀᴄᴇ ʙᴇ x
ᴀɴᴅ ᴅɪɢɪᴛ ᴀᴛ ᴛᴇɴꜱ ᴩʟᴀᴄᴇ ʙᴇ (8-x)
ᴏʀɪɢɪɴᴀʟ ɴᴜᴍʙᴇʀ = 10(8-x)+x=80-10x+x=80-9x
ᴀꜰᴛᴇʀ ɪɴᴛᴇʀᴄʜᴀɴɢɪɴɢ=10x+8-x=9x+8
80-9x-(9x+