A reasonably simple Mathematics question before the week-end passes by...
Two Men are walking down a park and notices a car with 4 digit registration number
1st guy remembers the first 2 digits and 2nd one takes up the last two digits
1st Guy: If I add the first digit of your number to my 2 digit number, I get a perfect square
2nd Guy: If I subtract the second digit of your number from my 2 digit number, I get a perfect square as well
1st Guy exclaims... If we add both our 2 digit numbers, it is also a perfect square!
2nd Guy's turn now... The entire 4 digit number is a perfect square as well!
What's the 4 digit number they are referring to?
Two Men are walking down a park and notices a car with 4 digit registration number
1st guy remembers the first 2 digits and 2nd one takes up the last two digits
1st Guy: If I add the first digit of your number to my 2 digit number, I get a perfect square
2nd Guy: If I subtract the second digit of your number from my 2 digit number, I get a perfect square as well
1st Guy exclaims... If we add both our 2 digit numbers, it is also a perfect square!
2nd Guy's turn now... The entire 4 digit number is a perfect square as well!
What's the 4 digit number they are referring to?
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