Question

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

Answer 1

Answer:

answer is x + y = 5

Step-by-step explanation:

let the two digit number = 10x + y

and number obtained by reversing the digit = 10y + x

A.T.Q

10x + y + 10y + x = 55

11x + 11y = 55

divide by 11

x + y = 5

sum of digits of two digit number are x + y = 55

Answer 2

Answer:-

The sum of the digits of the two digit number (x + y) is 5.

Solution:-

Let:-

• The digit in the 10th place be y.

• The digit in the one's place be x.

Then:-

• Original number is 10y + x.

According to Question:-

On reversing the digit the number is 10x + y.

Now:-

We can solve the equation easily

=> 10y + x + 10x + y = 55

=> 11y + 11x = 55

Now divide the equation (i) by 11

=> 11y + 11x = 55

=> 11y/11 + 11x/11 = 55/11

=> y + x = 5

Therefore:-

The sum of the digits of the two digit number (x + y) is 5.