SOLUTION TO PUZZLE 12

SOLTION TO PUZZLE 12:

for question:PUZZLE 12

let us take five digits as a1,a2,a3,a4,a5
by clues
1.a1+a3=11
2.a2=a5+2
3.a4=2a5+3
4.a1+a5=12
5.a1+a2+a3+a4+a5=28

by writing all digits in terms of one digit(here I choose a5)
from eq 4=>  a1= 12-a5
from eq 2=>  a2=a5+2
from eq 1=>  a3=11-a1=11-(12-a5)=a5-1
from eq 3=>  a4=2a5+3
substitute these in eq 5
12-a5+a5+2 +a5-1+2a5+3+a5=28
16+4a5=28
a5=3
so
a1=9
a2=5
a3=2
a4=9
a5=3

so password is 95293

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