The difference between the two digits of the number is 4.

Quick Scoop

Let the two-digit number have:

  • Tens digit = aaa
  • Units digit = bbb

So the original number is 10a+b10a+b10a+b, and the number formed by interchanging the digits is 10b+a10b+a10b+a.

Given:

(10a+b)−(10b+a)=36(10a+b)-(10b+a)=36(10a+b)−(10b+a)=36

10a+b−10b−a=36⇒9a−9b=36⇒9(a−b)=3610a+b-10b-a=36\Rightarrow 9a-9b=36\Rightarrow 9(a-b)=3610a+b−10b−a=36⇒9a−9b=36⇒9(a−b)=36

a−b=4a-b=4a−b=4

So, the difference between the two digits is 444.

Tiny Story-style Check

Think of a number like 51:

  • Reverse is 15
  • Difference: 51−15=3651-15=3651−15=36
  • Digit difference: 5−1=45-1=45−1=4.

So the puzzle is consistent: the required answer is 4.

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