Question

In a digit number the sum of both the digit is 8.if 18 is subtracted from the number the digit interchange its place find the number.​

Answer 1

Answer:

The number is   53

Step-by-step explanation:

Let,

Units digit = x

Tens digit = 8 - x

Original no :

10 (8 - x) + x

80 - 10x + x

80 - 9x

Digit interchange when 18 substracted  from original number

10x + (8 - x)

10x - x + 8

9x + 8

According to the  question :

⇒ (80 - 9x)  - 18  =  9x + 8

⇒ 80 - 18 - 9x   =  9x + 8

⇒ 62 - 9x  =  9x + 8

⇒ - 9x - 9x  =  8 - 62

⇒ - 18x  =  - 54

⇒  18x  =   54

⇒  x  =  54 / 18

⇒  x  =  3

Units digit = 3

Tens digit = 8 - x

⇒ 8 - 3

⇒ 5

∴ The number is   53