Question 969425
Let x = the digit in the units column
Then 2x+6 is the digit in the tens column  twice the number plus 6

One number is 10(2x+6) +x    The 10 is for the tens column, and +x is the units.

Think of 24 as being 10*2  +4    Same approach here.

Other number is 10x +(2x+6)
The first is 63 more than the second.

Therefore 10(2x+6) +x-63=10x +2x+6    The minus 63 means the first number is 63 more than the second, so we have to subtract 63 to make them equal.

Distribute
20x +60+x -63=12x +6

Collect terms
21x +60-63=12x +6
Solve
9x -3 =6
9x=9
x=1
2x+6=8

81 is the first number, 18 is the second number.  They are 63 apart.