Question

The difference between two digits of a two digit number is 6. If 54 is added the number the digits will interchange (Number in reversed). Find the original two digit number
Ans is 28 but I need steps as 28 + 54 = 82, I need steps​

Answer 1

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Let the two digit no be 10x + Y

According to question

interchanging the digit of the number means y is replaced by x and x is replaced by y so the no we got, 10y + x

2- Digit Number - Interchange 2 Digit number = 54

(10x + y) - (10y + x) =54

10x + y -10y -x =54

(10x-x)+( y-10y) =54

9x - 9y =54

x - y = 6

hence the difference between the digit is 6

Answer 2

Answer:

Let the two digit no be 10x + Y

According to question

interchanging the digit of the number means y is replaced by x and x is replaced by y so the no we got, 10y + x

2- Digit Number - Interchange 2 Digit number = 54

(10x + y) - (10y + x) =54

10x + y -10y -x =54

(10x-x)+( y-10y) =54

9x - 9y =54

x - y = 6

hence the difference between the digit is 6

Step-by-step explanation:

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