What is the smallest number (over 10) that becomes square if its reverse is added or subtracted to it?
Optional: list additional numbers with the above feature.
The smallest number over 10 if both its reverse number added to it results in a square number and if its reverse number is subtracted from it results in a square number is 65.
65 : 65 + 56 = 112 and
65 - 56 = 32
Some of the additional numbers with the feature are:
242 : 242 + 242 = 222 and
242 - 242 = 02
20402 : 20402 + 20402 = 2022 and
20402 - 20402 = 02
24642 : 24642 + 24642 = 2222 and
24642 - 246422 = 02
If leading zeroes are permitted,
621770: 621770 + 077126 = 8362 and
621770 - 077126 = 7382
|
|
Posted by Dej Mar
on 2018-07-28 10:34:31 |
answer
