Answer:
You are number 34
Step-by-step explanation:
* Lets explain how to solve the problem
- The number is less than 100
∴ The number is 2-digit number
- The number is the product of 2 prime numbers
∴ The two prime numbers could be two of these numbers:
2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , 31 , 37 , 41 , 43
∵ The number is less than 100
∴ The two prime numbers are 1-digit numbers OR one of them
is 1-digit and the other is 2-digit
- The sum of its digits is a 1-digit
∴ The sum of its digits is less than 10
- One of its digit is a square number
∴ One of its digit is 1 or 4 or 9 because they are square numbers
* Look to the prime number above the number and chose two of
them try to find the answer
- Start with the product of 1-digit prime numbers
∵ 2 and 7 are prime numbers
∵ 2 × 7 = 14 and the sum of its digits is less than 10 (1 + 4 = 5)
∵ 14 < 100
∵ The reversed of its digits obtained 41 which is a prime number
∵ 4 and 1 are a square number (1² = 1 or 2² = 4)
∴ The number is not 14
- Chose one of them 1-digit and the other 2-digit
∵ 2 and 17 are prime numbers
∵ 2 × 17 = 34 and the sum of its digits is less than 10 (3 + 4 = 7)
∵ 34 < 100
∵ The reversed of its digits obtained 43 which is a prime number
∵ 4 is a square number (2² = 4)
∴ The number is 34
* You are number 34
