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"the sum of the digits of a two-digit number is 13. reversing the digits produces a number that is 9 less than the original number. what is the original number?"
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"the sum of the digits of a two-digit number is 13. reversing the digits produces a number that is 9 less than the original number. what is the original number?"

User Rahil Wazir
by
7.4k points

1 Answer

7 votes
suppose the one's digit is x, the ten's digit is y. the original number is 10y+x, the reversed number is 10x+y

x+y=13
(10x+y)=(10y+x)-9 =>9y-9x=9 =>y-x=1
Add the two equation to solve: 2y=14 =>y=7
x=13-7=6
the original number is 76.


User Sensei James
by
8.3k points
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