The sum of the digit in a two digit number is 10 if the digits are reversed the new number will be 18 more than the original number what is the original number?

Possibility of two digit no whose sum is 10

19,28,37,46,55,64,73,82,91

Now add 18 to each no mentioned above

37,46,55,64,73,82,91,100,109

See after third comma. 46 and 64. Reverse of 46 is 64. That 64 is 18 more than 46

So 46 is the original