+0  
 
0
53
1
avatar

Miss Minerva challenges her class to guess her secret positive integer. She gives them these clues:

1) The sum of the digits of this three-digit number is 14.

2) The tens digit is the cube of a prime number.

3) The units digit is one-fifth of the hundreds digit.

What is Miss Minerva's number?

 Sep 20, 2020
 #1
avatar+10319 
+1

Miss Minerva challenges her class to guess her secret positive integer. She gives them these clues:
1) The sum of the digits of this three-digit number is 14.
2) The tens digit is the cube of a prime number.
3) The units digit is one-fifth of the hundreds digit.
What is Miss Minerva's number?

 

Hello class from Miss Minerva!

 

\(x+y+z=14\\ y\in\{{\mathbb{P}^3}\}\\ z=\frac{x}{5}\)

 

\(y\in\{{\mathbb{P}^3}\}=14-x-z\\ y\in\{{\mathbb{P}^3}\}=14-x-\frac{x}{5}\\ y\in\{{\mathbb{P}^3}\}=14-5-1\)

 

\(x=5\\ y=8\\ z=1\)

laugh  !

 Sep 20, 2020

55 Online Users

avatar