Question

sum of the digits of a two digit number is 8. when we interchange the new number obtained is smaller than the original number by 18. find the number

please guys answer fast and answer in step up step please​​

Answer 1

Step-by-step explanation:

suppose,

units digit = x

Tens digit = 8 - x

Original number = 10 (8 - x) + x

= 80 - 10x + x = 80 - 9x

When interchanging its digits the number obtained = 10x + (8 - x)

= 10x - x + 8 = 9x + 8

ATQ,

>> 80 - 9x - 18 = 9x + 8

80 - 18 - 9x = 9x + 8

62 - 8 = 9x + 9x

54 = 18x

x = 54/18

x = 3

units digit = 3

Tens digit = 8 - x

= 8 - 3 = 5

Tens digit = 5

Number = 53

The number is 53