Question

in a two digit number the sun of 2 digits is 8 if 8 is added to the number its digits are reversed find the number

Answer 1

let the number be 10x+y.
then,
a to q,
x+y=8 (1)
10x+y+8=10y+x
or. 9x-9y=-8. (2)

multiplying (1) by 9
9x+ 9y=72 (3)
adding (1). and (3)
18x=64
x=32/9