Question

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

Answer 1

10x+y+10y+x=55 i think something is missing

Answer 2

Answer:-

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

Solution:-

Let:-

• The digit in the tenth 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...........(i)

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.