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The sum of the digits of a two-digit counting number was 13. When the digits were reversed, the new number was 9 less than the original number. What was the original number?



Answer :

apologiabiology
so the number is xy ( this doesn't mean x times y)
x+y=13
yx=xy-9
the digits cannot be the same
they must add up to 13 so they cannot be positive so the number pairs are single digits so
9+4
8+5
7+6
the possible numbers pairs are
94 and 49
85 and 58
76 and 67
we find the differences
94-49= greater than 9
85-58= greater than 9
76-67=9

the original number is 76

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