Question

The number 27 more than the number obtained by reversing its digits. If its unit and tens digit are X and Y respectively. Write the linear equation representing the above statement.

Answer 1

Hint: Reversing a number means that the digits reverse itself, that is the one’s position becomes the tenth position and the tenth position becomes the one’s position. Use this concept along the constraints of the questions to formulate the equation.

Complete step-by-step answer:

It is given that the unit and tens digit of a number are X and Y respectively.
So the number becomes YX.
And now it is given that the number is 27 more than the number if the digits of the number is reversed.
So construct the linear equation according to given information we have,
Therefore the reverse digit number is equal to the sum of 27 and the given number.
So this is the required linear equation.
So this is the required answer.

Note: In this type of question we can easily make a mistake by interpreting that XY is the same as YX due to the commutative law of multiplication , but here in this case it’s not the same since the digits are getting altered ( the place digits).