SOLUTION: The sum of the digits of a two-digit number is 12. If the digits are reversed, the new number is 18 less than the original number. Find the original number.
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Question 694692: The sum of the digits of a two-digit number is 12. If the digits are reversed, the new number is 18 less than the original number. Find the original number. Answer by sachi(548) (Show Source):
You can put this solution on YOUR website! The sum of the digits of a two-digit number is 12.
let the ones digit is x then tens digit is 12-x
then the no is 10(12-x)+x........original no
If the digits are reversed,
the no is 10x+(12-x)...........new no
the new number is 18 less than the original number.
so 10x+(12-x)=10(12-x)+x-18
or 9x+12=102-9x
or 18x=102-12=90
or x=5 is the ones digit
so the tens digit ig 12-5=7
so the original number is 75
