SOLUTION: What number is a two-digit prime number between 1 and 50 whose sum is 8 and product is 7?

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Question 269078: What number is a two-digit prime number between 1 and 50 whose sum is 8 and product is 7?
Answer by vksarvepalli(154) About Me  (Show Source):
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let the required number be ab
we have a<=4 and b should be 1 or 3 or 7 since it is a prime no. and the sum of the digits is 8 and product 7
so if b=1, a should be 7 but a is <=5
if b=3 then a should be 5 but not possible
if b=7 then a=1 and also their product will be 7

so the answer is 17