Question

if the sum of two digit number and number obtained by reversing the digit is 55 find the sum of digit of the two digit number​

Answer 1

Answer:

Lets say this two digit number is x and the reverse is y for simplicity sake

If x = 05, then y = 50 so x + y = 55.

So is x = 14, y = 41

x = 23, y = 32

Noticing a pattern?

Let's say x = a * 10 + b. Then y = b * 10 + a. This means that the sum, 55, must equal x + y or a * 10 + b + b * 10 + a = (a + b) * 10 + (a + b). Thus a + b must equal 5

Answer 2

Answer:

The sum of the digits of two digit number is 5.

Step-by-step explanation:

Let the digit in the ten's place be 'x' and that in the unit's place be 'y'.

The original number is 10x+y

The number obtained by interchanging the digits is 10y+x

By given condition,

10x+y+10y+x = 55

11x+11y = 55

Dividing both sides by 11,

x+y = 5

Therefore, the sum of the digit of two digit number is 5.