Question

A number is 27 more than the number obtained by reversing the digits

Answer 1

Answer:

Given units digit is x and tens digit is y

Hence the two digit number = 10y + x

Number obtained by reversing the digits = 10x + y

Given the original is 27 more than the number obtained by reversing the digits.

Hence (10y + x) = (10x + y) + 27

⇒ 10y + x – 10x – y = 27

⇒ 9y – 9x – 27=0

∴ x – y + 3 = 0

Thus the required linear equation is x – y + 3 = 0