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

unit digit = x
ten's digit =y
the number =10x+y---(1)
reversing the number=10y+x----(2)
given diffrence (1) and (2) is 27
10x+y-(10y+x)=27
10x+y-10y-x=27
9x- 9y=27
divide each term with 9
x-y=3

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 :-

The 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 = 9

⇒ x - y + 3 = 0

⇒ x - y = 3

This is the required linear equation for the given information.