Question

A number is 27 more than the number obtained by reversing its digits.If its unit's and ten's digit are x and y respectively ,write the linear equation representing the above statement.

Answer 1

Since ten's digit is y and unit's digit is x,
The number is yx.
The statement can be written as,

10y + x = 27 + (10x + y)
9x - 9y + 27 = 0
x - y +3 = 0 is the required linear equation

Answer 2

Answer:

Step-by-step explanation:

Given :-

A number is 27 more than the number obtained by reversing its digits.If its unit's and ten's digit are x and y respectively.

To Find :-

Linear equation representing the above statement.

Solution :-

Total original number is 10y + x  

The new number is obtained after reversing the order of digits is 10x + y

According to question

⇒ 10y + x = 10x + y + 27

⇒ 9y - 9x  = 27

⇒ y - x = 3

⇒ x - y + 3 = 0

This is the required linear equation for the given information.