Question

the sum of two digits number is 12 the number obtained by interchanging the digits exceeds the original number by 54 find the original number​

Answer 1

Step-by-step explanation:

let the digits of no be x, y, then the no. is 10x + y

x+y = 12 ---A

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

9y-9x = 9(y-x) =54

y-x = 6 ----B

A+B gives

2y = 18 => y=9

A-B gives

2x =6 => x=3

x=3, y=9, no. is 39