The sum of the digits of a two digit number is 12. The number obtained by interchanging the two digits exceeds the given number by 18. FInd the number.

how do i find it ??

let the digitz b x and y

x+y=12

the two digit no..10x+y

interchangd no... 10y+x

10x+y+18=10y+x

9x-9y=18

x-y=2....(i)

x+y=12

using eliminatn methos u get the value of x and y as 5 n 7 ...thus the number is 57 or 75