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The sum of the digits of an odd two-digit prime numbers is 11. The tens digit is greater than the ones digit. What is the number?

The sum of the digits of an odd two-digit prime numbers is 11. The tens digit is greater-example-1

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2 digits
x and y are the digits
sum of the digits is x+y
x+y=11

10's digit is more than the one's digit
and the number is odd

odd number means that the ones place can be
1,3,5,7,9
10's is more than ones and adds to 11

1 and 10, nope, only single digits allowed
3 and 8, yah
5 and 6, yah
7 and 4, nope, tens is smaller
9 and 2, nope, tens is smaller

65 and 83

it has to be prime
65 is divisble by 5

therfor the number is 83
User Surajz
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