three friends three consecutive numbers

The ages of three friends are consecutive even numbers.

The sum of the ages is 102.

How old is each friend?

Crack the spy code

The Spy changed the password on his smartphone.

Can you find the 4-digit code?

To solve this puzzle you need to combine math and reasoning skills.
Spy series "Crack the Code"

By Panos Kalliantasis

 

 

If you do not succeed, you can find the answer and the detailed solution below.

Based on hint 2

AB is divisible by 5
The digit B can be 5 or 0

Based on hint 3

BC is divisible by 9
5C or 0C is divisible by 9

The sum of digits
5+C or 0+C must be multiple of 9
Since C is digit 0,1,2,3,4,5,,6,7,8,9

he only multiple of 9 can be 9
9x1=9
So 5+C=9 C is 4

Or
0+C=9 C is 9
BC can be 54 or 09

 

Based on hint 1
A number is divisible by 4 when its
last two digits are divisible by 4
ABCD number is divisible by 4 when
its last two digits are divisible by 4,
so CD is divisible by 4
4D or 9D is divisible by 4
4D can be 40 44 or 48
9D can be 92 or 96
BCD can be

540 544 548 092 096
The code ABCD can be

A540 A544 A548 A092 A096
Based on hind 4
A+B+C+D =25
The only one that can give a sum of
25 is A548
A+5+4+8=25 A+17=25 A=8
Therefore the code ABCD is 8548

Answer
Correct answer is 8548

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Answers
P(Ace)=4/52

P(sword)=13/52

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Find the code and unlock it.

                                      

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