A number consists of two digits whose sum is 8 if 18 is added to the number its digits are reversed find the number do this question by taking one and two variables?

Sum of digits x+y=8

Two digit no assume as 10x+y

It is given that

10x+y+18=10y+x

9x-9y+18=0

x-y=-18/9

x-y= -2

Equate both

x+y-8=x-y+2

2y=10

y= 5

Substitute this y in x+y

x+5=8

x=3

So 35 is original two digit no

Reversed new no is 53