Question 946711
Let the digits of the number be x and y respectively.
Let the tens digit be x and the units digit be y.
The number is (10x+y)
x+y=14..........equation 1
When the digits are reversed the new tens digit is y and the new units digit is x.
When the digits are reversed the new number is (10y+x)
10y+x=36+(10x+y)
9y=36+9x
y=4+x..........equation 2
Substituting equation 2 in equation 1.
x+4+x=14
2x+4=14
2x=10
x=5
y=9
The original number is 59.