Answer:
37
Step-by-step explanation:
Let the answer be represented by xy where x is the tens digit and y is the ones digit.
The ones digit of a two-digit number is 4 more than the tens digit.
y = x+4
the sum of that number and the number reversed is 110
xy+yx = 110
Lets rewrite this vertically
x y
y x
------
1 1 0
We can replace y with x + 4 I will put the 4's in a separate row up top for ease of writing
4 4
x x
x x
------
1 1 0
Taking the one's column, we get
2x +4 = 0 and I will assume there is a carry of 10
so rewriting
2x+4 = 10
Subtract 4 from each side
2x+4 -4 = 10-4
2x =6
Divide each side by 2
2x/2 = 6/2
x=3
We still need to find y
y = x+4
Substituting in x
y = 3+7
y =7
The number is xy
37
