Question

A number is 27 more than the number obtained by reversing the order of ots digits is 121. If units and ten's digit of the number are x and y respectively, then write the linear equation representing the above equation.

Answer 1

let the 10's digit = x
and the units = y
then

a number = 10x + y

∴According to the question,

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

⇒10x + y = 10y + x + 27
⇒10x - x = 10y - y + 27

⇒9x = 9y + 27
⇒x = y + 3