• Accueil
  • Math
  • Iam a number less than 100. i am a prime. the sum...

Iam a number less than 100. i am a prime. the sum of my digit is a 1- digit prime. one of my digit is a square number. what number im i ? ​

Answers

  • Réponse publiée par: kimashleybartolome

    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

  • Réponse publiée par: elaineeee
    Iuusuwuwfuwyeuduu3xuysywuy
  • Réponse publiée par: cleik
    189 eggs .
Connaissez-vous la bonne réponse?
Iam a number less than 100. i am a prime. the sum of my digit is a 1- digit prime. one of my digit i...