There are two distinct natural numbers. Each is first increased by 10 then by same percentage as each was increased for the first time. Each number finally results in 72 Find the difference between the numbers.

Answer 1

starting value: x

increase by 10: x+10

increase by percent increase:
x+10 + 10/x

result is 72:

x+10 + 10/x = 72
x = 31±√951

difference between the two values: 2√951

But those are not natural numbers. So, what do I have wrong?