A house wife forgot her bank account PIN which is five digits’ number,but luckily she remembered some hints on how to recall this PIN.Here are some of the clues
1) The 1st digit is a square of the 2nd
2) The sum of the 2nd and 3rd is 10
3) The 4th is equal to the 2nd plus 1
4) The 3rd and the 5th makes 14
5) The sum of all the digits is 30
What is the PIN?M
Answers
Answered by
1
The pin no is
93747
let's say the 5 Numbers are ABCDE respectively
from the question
…A=B^2 (1st Number)
B+C=10 that means
C=10-B (3rd Number)
B=10-C that means 10-(10-B) equals B (2nd Number)
D=B+1 (4th Number)
E=14-C that means 14-(10-B) that equals 4+B (5th Number)
Now let's add all
(B^2)+B+(10-B)+(B+1)+(4+B)=30
(B^2)+B+10-B+B+1+4+B=30
(B^2)+B+10+1+4+B=30
(B^2)+2B+15=30
(B^2)+2B-15=0
(B^2)+5B-3B-15=0
((B^2)+5B)-(3B-15)=0
B(B+5)-3(B+5)=0
B-3=0 or B+5=0
B=3
Then you can substitute the rest
Similar questions