Question

The difference between a two digit number and the number obtained by interchanging the
digits is 27. What is the difference between the two digits of the number?​

Answer 1

Answer:

the two digits number should be written as

10x + y

x is in 10s place and y is in ones place

reversing the digits it becomes 10y + x

difference between the two is 27

(10x + y) - (10y + x) = 27

10x + y - 10y - x = 27

9x - 9y = 27

9(x - y) = 27

x - y = 27/9 = 3

x - y = 3

therefore the difference between the digits is 3

Answer 2

Step-by-step explanation:

let

the unit digit be =y

tenth digit be =x

then the number=10x+y

by interchanging its places the number becomes= 10y+x

the difference between number obtained by interchanging the digits is =27

since,

(10x+y)-(10y+x)=27

10x+y-10y-x=27

9x-9y=27

9(x-y)=27

x-y=27÷9

x-y=3

since,

the required answer is x-y=3

HOPE you UNDERSTOOD

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