Question

A house wife forgot her bank account pin code. Which is five digit number but luckily. She remembered some hints on how recall this pin. here are some of the dues. The first digit is square of the second. The sum of the second and third is 10. The four is equal to the second plus one. The third and the fifth makes fourteen. The sum of all digit is thirty. What is the pin code

Answer 1

1st Number = A

2nd Number = B

3rd number = C

4th number = D

5th number = E

A=B² ( first number is the square of the 2nd number)
B+C=10 ( Sum of 2nd and 3rd = 10)
C=10-B = B=10-C (10-(10-B) equals B (2nd Number)
D=B+1 (4th number = 2nd number + 1)
E=14-C (5th number minus 3rd number = 14)

Add them together to equal 30
B²+B+(10-B)+(B+1)+(4+B)=30
B²+B+10-B+B+1+4+B=30
B²+B+10+1+4+B=30
B²+2B+15=30
B²+2B-15=0

B²+5B-3B-15=0
(B²+5B)-(3B-15)=0
B(B+5)-3(B+5)=0
B-3=0 or B+5=0
B=3

The second number (B) = 3

1st number is 3² = 9
2nd number is B = 3
3rd number is 10-B = 7
4th number is B+1 = 4
5th number is 14-third number = 7

9 + 3 +7 +4 + 7 = 30

The password is 93747