Question

A number has two digits whose sum is 8. If 18 is added to the number, its digits are reversed. What is that number.Help me please.

Answer 1

let the no be 10x + y
given, x + y = 8 ------------ (1)
10x +y + 18 = 10y + x
9x - 9y + 18 =0
x - y +2 = 0
x - y = -2 ----- (2)
from (1) & (2)
x + y = 8
x - y = -2
-----------------
2x = 6
x = 3
sub x = 3 in (1)
3 + y = 8
y = 5
number 10x + y = 10(3) + 5
                       = 30+5
                       = 35
required number is 35.

Answer 2

the number is 62.
 6+2=8 +18= 26
hence the number is reversed