# Vault code Math genius riddle

Please find the Vault code consisting of 5 different numbers … (1-9) …

1. The sum of the first digit and the sum of the third digit is 10 ..

2. The first digit is a square of the fifth digit

3. The fourth digit is equal to the second digit plus 1

4. The sum of the digits is 22

What is the Vault code?

**Answer**– **94153**

**Explanation-**

Let the number be **VWXYZ**

Conditions:

(1) V + X = 10

(2) V = Z^2 => V = 4 / 9 and Z = 2 / 3 (V = 1 => Z = 1 which is NOT allowed.)

(3) Y = W + 1

(4) V + W + X + Y + Z = 22

Applying (1) and (3) in (4) => 10 + 2W + 1 + Z = 22

=> **2W + Z = 11 **(5)

Exploring possible values from (2):

(a) If V = 4, Z = 2 then (5) => 2W = 9 which is **Impossible.**

(b) If V = 9, Z = 3 then X = 1, W = 4, Y = 5.

Hence the code is 94153.

**ponder on this password too: 1 5 9 6 1**

1st no.= 1*1=1

3rd no.=10-1=9

4th no. = 2nd no. +1 => 5+1=6

total of digits => 1+5 +9 +6 +1= 22 kaboom!!!

Answer:94153

We know that the answer will have the following pattern.

x y 10-x y+1 sq.root(x)

We know that x cannot be taken as 5 as 5^2=25>22.

If we take x as 4^2=16,

1st digit=16

5th digit=4

16+4=20

only 2 is left and thus it is not possible.

Only if x is taken as 3 will we get a correct answer .

### Your Answer

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