Question

sum of digit of a two digit number is 8. If we intel change the digits it is found that the pesulting new number is increased by 18 than the original number. Find the two digit number.​

Answer 1

Answer:

35 is the number

Given:

• Sum of digits of a 2-digit Number is 8
• Number obtained by interchanging the digits is 18 more than the original number.

To Find:

• The original number

Solution:

Let the tens digital original number = x

The ones digital original number = ( 8 - x )

The original number :

⟹ 10(x) + ( 8 - x )

⟹ 10x + 8 - x

⟹ 9x + 8

The number after interchanging the digits:

⟹ 10 ( 8 - x ) + x

⟹ 80 - 10x + x

⟹ 80 - 9x

According to be question:

New number = Original number + 18

⟹ 80 - 9x = ( 9x + 8 ) + 18

⟹ 80 - 9x = 9x + 8 + 18

⟹ 80 - 9x = 9x + 26

⟹ 80 - 26 = 9x + 9x

⟹ 54 = 18x

⟹ 54/18 = x

⟹ 3 = x

Original number:

⟹ 10 ( x ) + ( 8 - x )

⟹ 10 ( 3 ) + ( 8 - 3 )

⟹ 30 + 5

⟹ 35

35 is the original number