Is the two-digit prime number s equal to 19?

Question

(1) The sum of the digits of s is 10.
(2) The positive difference between the tens and units digits of s is 8.

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chetan2u · Answer

Is the two-digit prime number s equal to 19?

So the number is 
 (a) 2-digit
(b) Prime

(1) The sum of the digits of s is 10.
So s can be 19, 37, 73 ...

(2) The positive difference between the tens and units digits of s is 8.
the numbers with difference of 8 can be  ONLY 19, 91, 80. .
 But s is prime, so only possibility is 19.. 
Suff

B

CareerGeek · Answer

(1) The sum of the digits of s is 10.
--> Possible values of s = {19, 37, 73} -->  Insufficient

(2) The positive difference between the tens and units digits of s is 8.
--> Possible value of s = 19 -->  Sufficient

IMO Option B

CareerGeek · Answer

Hi  chetan2u ,

See the highlighted part, the questions says that 's' is a prime number, Is there need to consider non-prime numbers?
Correct me if i'm wrong

Regards

chetan2u · Answer

Hi

Yes we don’t have to consider and that is why I have written that numbers and not s with difference of 8 are19,91 and 80. Bit since s is prime it cannot be 91 or 80 and s is 19

TarunKumar1234 · Answer

Stat1: The sum of the digits of s is 10.
we can have s= 37 or 19, so, not sufficient.
Stat2: The positive difference between the tens and units digits of s is 8.
We have only 19 as option.

So, I think B.

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Is the two-digit prime number s equal to 19?

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Is the two-digit prime number s equal to 19?

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