SOLUTION: I am a 4-digit number. My first digit is a cube. My second digit is prime. My second, third, and fourth digit are consecutive even numbers. My third digit is a square and my

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: I am a 4-digit number. My first digit is a cube. My second digit is prime. My second, third, and fourth digit are consecutive even numbers. My third digit is a square and my       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1062372: I am a 4-digit number. My first digit is a cube. My second
digit is prime. My second, third, and fourth digit are
consecutive even numbers. My third digit is a square and my
last digit is thrice my second digit.

Found 2 solutions by Edwin McCravy, MathTherapy:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
I am a 4 digit number. 
Let X's represent the digits:

XXXX

My second, third,fourth digit are consecutive even numbers,
So it's either

X024 or X246 or X468

My third number is a square.
So it can only be

X246

My first digit is a cube.
The only digits that are cubes are 1 and 8.  That's
because 13=1 and 23=8

So it either

1246 or 8246

My second digit is prime.
We don't need that information because 2 is prime.

my last digit is thrice my second digit.
We don't need that information either because 6 is
thrice 2.

But we still can't tell whether it's 1246 or 8246.

Edwin

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
I am a 4-digit number. My first digit is a cube. My second
digit is prime. My second, third, and fourth digit are
consecutive even numbers. My third digit is a square and my
last digit is thrice my second digit.
1st Digit: Only 2 digits are cubes: 1 and 8, so this can be either. 

2nd Digit: With this being PRIME and EVEN, this MUST be 2 

3rd and 4th Digits: 4 and 6

Number: 1,246, or 8,246

Clues in first 2 sentences were enough to determine numbers. 

This 3rd sentence was UNNECESSARY: My third digit is a square and my last digit is thrice my second digit.