Question

The sum of the digits of a two-digit number is 12, and the difference between the number and the number obtained by interchanging the two digits of the number is 18. Find the number.

Answer 1

hello.... ☺

ʟᴇᴛ ᴜɴɪᴛ ᴘʟᴀᴄᴇ x ᴀɴᴅ ᴛᴇɴᴛʜ ᴘʟᴀᴄᴇ ɪs ʏ

x +ʏ = 12

ɪғ ᴅɪɢɪᴛS are ʀᴇᴠᴇʀsᴇᴅ

ʏ +10x = x + 10ʏ -18

ʏ + 10x -x - 10ʏ= -18

9x -9ʏ = -18

9ʏ -9x =18

9ʏ- 9(12–ʏ)= 18

9ʏ-108+9ʏ=18

18ʏ= 18+108

ʏ = 126/18

ʏ= 7

sᴏ x = 12–7 =5

ᴏʀɪɢɪɴᴀʟ ɴᴜᴍʙᴇʀ = 10x +ʏ
= 10x5+7
= 57

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