Question

The sum of the digits of a two – digit number is 10 . The number got by interchanging the digits is 18 more than the original number . What is the number​

Answer 1

Answer:

$the \: number \: is \: \: \: 46.$

Step-by-step explanation:

$x + y = 10 \\ \\( 10y + x) - (10x + y) = 18 \\ \\ 9y - 9x = 18 \\ \\ x - y = 2 \\ \\ solving \: these \\ \\ \\ 2x = 12 \\ \\ x = 6 \: \: and \: \: \: \: y = 10 - 6 = 4 \\ \\ \\ the \: number \: is \: \: \: 46.$