Question

The sum of the digits of a two digit number is 5 the number formed by reversing the digits is 9 less than the original number find the original number​

Answer 1

Given:

• The sum of the digits of a two digit number is 5 the number formed by reversing the digits is 9 less than the original number

To find:

• The original number

Solution:

• Let the unit digit be x
• Ten's digit be 5 - x

Original number

➝ 10 (5x - x) + x

➝ 50 - 10x + x

➝ 50 - 9x

After interchanging:

• Unit digit = 5- x
• Ten's digit = x

New number

➝ 10 × x + 5 - x

➝ 9x + 5

According to Question:

➝ 9x + 5 + 9 = 50 - 9x

➝ 9x + 9x = 50 - 14

➝ 18x = 36

➝ x = 2

• Unit digit = 2
• Ten's digit = 5 - 2 = 3

Hence,

• The original number is 32.

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