The digit in the tens place of a two-digit number is three times that in the units place. If the digits are reversed, the new number will be $36$ less than the original number. Find the original number. Check your solution.

Open in App

Solution

Let the unit digit be $x$ and the tens digit be $y$
Thus, the required number be $y x$
According to given condition: $y = 3 x$
$x y = y x - 36$
$10 x + y = 10 y + x - 36$
$10 x + 3 x = 10 (3 x) + x - 36$
$13 x = 30 x + x - 36$
$31 x - 13 x = 36$
$31 x - 13 x = 36$
$18 x = 36$
$∴ x = 2$
Since, $y = 3 x$ , so $y = 6$
Hence original number is $y x = 62$
To check:
The number is $62$
Condition(i): Tense digit $6 = 3 \times$ unit digit $(2)$
Condition(ii): The reversed digit $26 = 62 - 36$
Thus, the reversed number $(26)$ is $36$ less than the original $(62)$ .
Hence, the answer is verified.

Suggest Corrections

Similar questions

The digit in tens place of a two digit number is three times that in the units place. If the digits are reversed, the new number will be $36$ less than the original number. Find the original number. Check your solution.

The digits of tens place of a two digit number is three times that in the units place. If the digits are reversed, the new number will be $36$ less than the original number. find the original number

Q. The digit at the tens place of a two digit number is three times the digit at the units place, If digits are reversed, the new number will be

36

less than the original number. Find the number.

The digit in the tens place of a two-digit number is four times the digit in the units place. When the digits are reversed, the number obtained is 27 less than the original numbers. Find the original number.

Q. The digit of tens place of a 2 digit is 3 times the digit at a unit place of the digit are reversed, the new number will be 36 less the original number. Find the originalnumber.

Join BYJU'S Learning Program

The digit in the tens place of a two-digit number is three times that in the units place. If the digits are reversed, the new number will be 36 less than the original number. Find the original number. Check your solution.

The digit in the tens place of a two-digit number is three times that in the units place. If the digits are reversed, the new number will be $36$ less than the original number. Find the original number. Check your solution.