Question

A prime number less than 100 is 2 more than a multiple of 7. The sum of its digits is 10.

Find the number

Answer 1

37

Explanation:

2 more than a multiple of 7:

multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91

multiples of 7 plus 2: 9, 16, 23, 30, 37, 44, 58, 65, 72, 79, 86, 93

digits add to 10: 37 (3 + 7 = 10)