Fran thinks of a two digit number. The firs digit is 6 more than the second digit, and the number is prime. What number did fran think of

The number which Fran is thinking about is 82 or 93.

Step-by-step explanation:

A two-digit number can be written as:

a*10 + b

Where a and b are single-digit numbers.

We know that:

"the first digit is 6 more than the second digit"

then:

a = b + 6

And we know that the second digit is a prime number.

Then we can have:

b = 2

b = 3

b = 5

b = 7

Now let's try with these different options.

if b = 2, then:

a = 2 + 6 = 8

Then the number is:

8*10 + 2 = 82

If b = 3, then:

a = 3  + 6 = 9

Then the number is:

9*10 + 3 = 93

if b = 5, then:

a = 5 + 6 = 11

But a needs to be a single-digit number, then b can not be 5 or larger.

Then the only two possible numbers are:

82 and 93.

So the number which Fran is thinking about is 82 or 93.

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right