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

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

Answer by Alan3354(69443) (Show Source): 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

RELATED QUESTIONS
Please help me solve this-Some whole numbers have the property that if you remove their... (answered by drk)

If you add up the digits of a three digit number you get 18 .the ten's digit is twice the (answered by lwsshak3)

My ID number is quite remarkable. It's a 9-digit number with the digits 1-9 appearing... (answered by bucky)

one of the two digit of a two digit number is 3 times the other digit. if u inter change... (answered by ankor@dixie-net.com)

There is a 3 digit number with each digit a different number. The sum of the digits is a... (answered by ankor@dixie-net.com)

Find the largest three digit number such that the number minus the sum of its digit is a... (answered by Edwin McCravy)

three is the number of digits you see their sum is between sixteen and twenty three the (answered by Edwin McCravy)

This is an very easy question for you. please answer it fast. (i)Find the greatest... (answered by advanced_Learner,MathLover1)

If You Multiply 4321 By A Certain 4-digit Number, The 8-digit Answer You Get Ends In Its... (answered by Edwin McCravy)