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.

By BYJU'S Exam Prep

Updated on: September 25th, 2023

The original number is 62. Let the number’s units digit equal x.

then according to the question tens digit = 3x

and according to the question number = x + 10 x 3x = x + 30x = 31x

Now by reversing the digits according to the question, we get:

units digit = 3x

and tens digit = x

then number = 3x + 10x = 13x

Table of content

1. 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.

According to the condition:

31x – 36 = 13x

On rearranging we get:

31x – 13x = 36

In simplification we get the:

18x = 36

x = 36/18

x = 2

Then we get the original number = 31x = 31 × 2 = 62

Therefore the number = 62

Check : Number = 62

tens digit = 2 × 3 = 6

On reversing the digit, the new number will be = 26

62 – 26 = 36 which is given:

Hence, the answer is verified.

Numbers

A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as “3,” are written to represent numbers. A number system is a logical way of writing numbers that uses digits or symbols to represent them. the system of numbers

a helpful collection of numbers
that reflects the number’s algebraic and mathematical structure.
offers a common depiction.

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