SOLUTION: I think of a number It is less than 100 It is the cube of a number It is 17 less than a square number What is my number?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: I think of a number It is less than 100 It is the cube of a number It is 17 less than a square number What is my number?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1003812: I think of a number
It is less than 100
It is the cube of a number
It is 17 less than a square number
What is my number?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+1%5E3+=+1+
+2%5E3+=+8+
+3%5E3+=+27+
+4%5E3+=+64+
+5%5E3+=+125+ ( greater than 100 )
----------------
So, there are 4 numbers less than
100 which are cubes of a number
+1+%2B+17+=+18+ ( not a square number )
+8+%2B+17+=+25+ ( is a square number )
+27+%2B+17+=+44+ ( not a square number )
+64+%2B+17+=+81+ ( is a square number )
--------------------
It looks like the number could be either
8 or 64