Question

The sum of the digits of a two digit number is 15. If the number formed by reversing the digits is less than the original number by 27, find the original number

Answer 1

Step-by-step explanation:

Given:

• The sum of two numbers.
• The number formed by reversing the digits is less than the original number by 27.

To Find:

• The original number

Solution:

Let unit's digit be x

ten's digit=15-x

Original number=10(15-x)+x

→150-10x+x

→150-9x

Number after interchanging it's digits= 10x+15-x

→9x+15

Given is , the number formed by reversing the digits is less than the original number by 27, so if we add 27 to the original number the it is equal to the number after interchanging it's digits.

ACQ,

9x+15=150-9x+27

9x+9x=150+27-15

18x=162

x=9

Original number=150-9x=150-9×9

→150-81

→69