Question

the sum of digits of two digit number is 6 when we interchange the digits it is found that the resulting number is greater than the original number by 18. what is the two digit number? ​

Answer 1

24

Explanation:

Original Number :-

Given that ,

• Sum of digits is 6 .

Let ,

• Tens place = x
• Units place = 6 - x

Number ,

• 10x + 6 - x = 9x + 6

On interchanging the digits :-

• Tens place = 6-x
• Units place = x

→ Number = 10( 6-x) + x

→ Number = 60 - 10x + x

→ Number = 60 - 9x

According to Question,

→ 9x + 6 + 18 = 60 - 9x

→ 18x = 60 - 24

→ 18x = 36

→ x = 36/18

→ x = 2

• N = 9x + 6 = 18+6 = 24

Hence the required answer is 24.