Discussion
• I am a 2 digit number.
• The digit in tens place and the digit in units place are consecutive prime numbers.
• The sum of digits is multiple of 3 and 4.
The number is
Answer: A
The number is 57.
The sum of the digits must be a multiple of both 3 and 4, so a multiple of 12. For a two-digit number the sum is at most 18, so it must be 12. The digits must be consecutive prime numbers: 5 and 7 are consecutive primes and 5 + 7 = 12.
Check the others: 23 has digits summing to 5, 35 to 8 and 13 to 4, none a multiple of 12. (2 and 3 and 3 and 5 are consecutive primes, but their sums fail.)
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