Question

sum of the digits of a two digit number is 12 and the new number formed by reversing the digits is greater than number by 18 find the new number of the question

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Answer 1

Answer:

$the \: original \: number \: is \: 57$

Step-by-step explanation:

$x + y = 12 \\ \\ 10x + y = 18 + 10y + x \\ 9x - 9y = 18 \\ x - y = 2 \\ \\ adding \: these \: equations \\ \\ 2x = 14 \\ x = 7 \\ y = 12 - 7 \\ y = 5 \\ \\ the \: original \: number \: is \: 57$