# SOLUTION: One number is 3 smaller than another number. The square of the larger number is 9 larger than ten times the smaller number. Find the numbers.

Algebra ->  -> SOLUTION: One number is 3 smaller than another number. The square of the larger number is 9 larger than ten times the smaller number. Find the numbers.      Log On

 Ad: Mathway solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Question 167026: One number is 3 smaller than another number. The square of the larger number is 9 larger than ten times the smaller number. Find the numbers.Answer by solver91311(18785)   (Show Source): You can put this solution on YOUR website!Let be the larger number. That means that the smaller number is . The square of the larger number is . Ten times the smaller number is and the square of the larger number is larger than that, so: Hence, or Check: If the larger number is 3, then the smaller number must be 0, 3 squared is 9 which is 9 larger than ten times zero. Checks. If the larger number is 7, then the smaller number must be 4, 7 squared is 49 which is 9 larger than 10 times 4 (40).