Question

The sum of two digit number obtained by reversing the digit is always divisible by​

Answer 1

The sum of a two-digit number and the number formed by reversing its digits is exactly divisible by 11 and the quotient obtained is the sum of the digits of the original 2-digit number.

Answer 2

Answer:

11

Step-by-step explanation:

Let us take some examples to prove that sum of two digit number and its reverse is divisible by 11:

• Number = 26
• Reverse = 62
• Sum = 26 + 62 = 88
• 88 is divisible by 11

• Number = 73
• Reverse = 37
• Sum = 73 + 37 = 110
• 110 is divisible by 11

• Number = 45
• Reverse = 54
• Sum = 45 + 54 = 99
• 99 is divisible by 11