The sum of my ones digit and tens digit is 10. My tens digit is les than my ones digit and both my digits are prime. i am a prime number. what number am i?

3 answers

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Lets say the number is AB

so A+B=10

we also know that A<B

and both A and B are prime

so possibilities for A and B are

1,2,3,5,7

if A<B then A can only be 1,2,3,or 5

the only pairs such that A+B=10

are 55, 37

of these two only 37 is a prime number

But check the logic!
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