SOLUTION: Some three-digit integers have the following property: if you remove the first digit of the
number, you get a perfect square; if instead you remove the last digit of the number, y
Algebra ->
Sequences-and-series
-> SOLUTION: Some three-digit integers have the following property: if you remove the first digit of the
number, you get a perfect square; if instead you remove the last digit of the number, y
Log On
Question 1070706: Some three-digit integers have the following property: if you remove the first digit of the
number, you get a perfect square; if instead you remove the last digit of the number, you also
get a perfect square. What is the sum of all the three-digit integers with this curious property?
(A) 1013 (B) 1177 (C) 1465 (D) 1993 (E) 2016
You can put this solution on YOUR website! Some three-digit integers have the following property: if you remove the first digit of the number, you get a perfect square; if instead you remove the last digit of the number, you also get a perfect square. What is the sum of all the three-digit integers with this curious property?
----------
The 1st possibility is 16x
--> 164
Then 36x
--> 364
Then 49x
Then 64x
--> 649
Then 81x
--> 816
-------------
Sum = 1993
