Answer:
26
Step-by-step explanation:
Let's call the original two digit number xy, where x is the tens digit and y is the ones digit. An algebraic representation of this number is 10x + y.
The sum of the two digit number is 8: x+y=8
When the digits are reversed, the number increases by 36: (10y + x) - (10x + y) = 36
Now we have two equations and two unknown parameters, so we have enough information to find those parameters.
Solve for x:
X=8-y
plug in x:
(10y + 8-y) - (10(8-y)+ y) = 36
simplify:
(9y + 8) - (80-9y) = 36
18y - 72 = 36
y = 108/18 = 6
so if y=6, then x=8-y=8-6=2
so our number is 26. 62 is 36 greater than 26.
