# It's in the number 5. Can you answer it. I need an explanation and the answer please!

by yaknowme 23.07.2016

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by yaknowme 23.07.2016

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Let's assume that the 2nd digit is X. Then, the 1st digit = X^2. And the 4th digit = X + 1.

Also, let's assume that the 3rd digit = Y. Then, the 5th digit should be 14-y

Add it all up and it will look like this:

(X^2) + (X) + (Y) + (X + 1) + (14 - Y) = 30

Simplify, and it will now be:

X^2 + 2X + 1 + 14 = 30

Make the first 3 terms into a binomial and it will look like this:

(X + 1)^2 + 14 = 30

(X + 1)^2 = 16

√(X + 1)^2 = √16

X + 1 = 4

X = 4 - 1

X = 3

To solve for Y, substitute the value of X to the 2nd hint:

X + Y = 10

3 + Y = 10

Y = 10 - 3

Y = 7

You can get:

1st digit: X^2 = 9

2nd digit: X = 3

3rd digit: 7

4th digit: 3 + 1 = 4

5th digit: 14 - 7 = 7

Therefore, the 5-digit pin code is 93747

Also, let's assume that the 3rd digit = Y. Then, the 5th digit should be 14-y

Add it all up and it will look like this:

(X^2) + (X) + (Y) + (X + 1) + (14 - Y) = 30

Simplify, and it will now be:

X^2 + 2X + 1 + 14 = 30

Make the first 3 terms into a binomial and it will look like this:

(X + 1)^2 + 14 = 30

(X + 1)^2 = 16

√(X + 1)^2 = √16

X + 1 = 4

X = 4 - 1

X = 3

To solve for Y, substitute the value of X to the 2nd hint:

X + Y = 10

3 + Y = 10

Y = 10 - 3

Y = 7

You can get:

1st digit: X^2 = 9

2nd digit: X = 3

3rd digit: 7

4th digit: 3 + 1 = 4

5th digit: 14 - 7 = 7

Therefore, the 5-digit pin code is 93747

Sabihin natin na ang 2nd digit ay X dahil hindi pa natin alam ang value. Kung 2nd digit = x, magiging 1st digit = x^2 dahil sa clue #1. At ang 4th digit = X + 1 dahil sa clue #3.

At sabihin din natin 3rd digit = Y dahil hindi pa natin alam ang value. Tapos, ang 5th digit = 14-y dahil sa clue #4 (Isusubtract mo ang 3rd digit sa 14, ang sagot nun ay yung 5th digit)

Add mo lahat yun, at magiging ganito:

(X^2) + (X) + (Y) + (X + 1) + (14 - Y) = 30

Simplify, and ito'y magiging:

X^2 + 2X + 1 + 14 = 30

At sabihin din natin 3rd digit = Y dahil hindi pa natin alam ang value. Tapos, ang 5th digit = 14-y dahil sa clue #4 (Isusubtract mo ang 3rd digit sa 14, ang sagot nun ay yung 5th digit)

Add mo lahat yun, at magiging ganito:

(X^2) + (X) + (Y) + (X + 1) + (14 - Y) = 30

Simplify, and ito'y magiging:

X^2 + 2X + 1 + 14 = 30

Gawin mong binomial ang X^2 + 2x + 1:

(X + 1)^2 + 14 = 30

(X + 1)^2 = 16

√(X + 1)^2 = √16

X + 1 = 4

X = 4 - 1

X = 3

Upang mahanap ang Y, substitute mo yung value ng X sa clue #2:

X + Y = 10

3 + Y = 10

Y = 10 - 3

Y = 7

1st digit: X^2 = 9

2nd digit: X = 3

3rd digit: Y = 7

4th digit: 3 + 1 = 4

5th digit: 14 - 7 = 7

5-digit pin code ay 93747

(X + 1)^2 + 14 = 30

(X + 1)^2 = 16

√(X + 1)^2 = √16

X + 1 = 4

X = 4 - 1

X = 3

Upang mahanap ang Y, substitute mo yung value ng X sa clue #2:

X + Y = 10

3 + Y = 10

Y = 10 - 3

Y = 7

1st digit: X^2 = 9

2nd digit: X = 3

3rd digit: Y = 7

4th digit: 3 + 1 = 4

5th digit: 14 - 7 = 7

5-digit pin code ay 93747