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Q: You are a two digit-prime number the number formed by reversing you digits are also prime your ones digit is 4 less than your tens digit what number are you?

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36

The number is 36.

The sum of any two-digit number and the number formed by reversing the digits is always divisible by 11.Why?The algebraic proof is as follows:(10x+y) + (10y+x) = 11x + 11y = 11(x+y)

No, reversing the order of the digits of a two-digit prime number does not always result in a prime number.

It is easiest to explain with an example. Suppose you have a number 4627. Then the number obtained by reversing [the order of] its digits is 7264. The difference between them is the bigger number minus the smaller number. So here it would be 7264 - 4627 = 2637.

73 7-3 = 4 73 is prime and 37 is prime.

3 and 6

A reversing number is a number. Say 14. You reverse the numbers. Then the number will be 41. That is a reversing number.

03458

No because as for example 23 is a prime number but 32 is a composite number

the largest five digit number that can be formed using the digits 7 and 9 is 97,000

A reversible prime is a number such as 37, where reversing the order of the digits gives 73 which is also a prime.

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