kamil
Answered

A boy forgot his PIN code which was 5-digit number, but luckily for him, he remembered some hints that could remind him of that password.

Here are those hints:
1. First digit is equal to the square of second digit.
2. Second digit plus third digit is equal to 10.
3. Fourth digit equal to the Second digit plus 1
4. Fifth plus 3rd digit is 14
5. Sum of all the five digits equals 30.

Whats the PIN code?



Answer :

[tex]PIN:abcde\\\\a=b^2\\\\b+c=10\to c=10-b\\\\d=b+1\\\\e+c=14\to e+10-b=14\to e=b-10+14\to e=b+4\\\\a+b+c+d+e=30\Rightarrow b^2+b+10-b+b+1+b+4=30\\\\b^2+2b+15=30\\\\b^2+2b=30-15\\\\b^2+2b=15\\\\b(b+2)=15\\\\b(b+2)=3\cdot5\Rightarrow b=3\\\\a=3^2=9\\b=3\\c=10-3=7\\d=3+1=4\\e=3+4=7\\\\Answer:PIN\to93747[/tex]

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