Question

A house wife forgot her atm pin. Which is four digit number, but luckily she remembered some hint s on how to recall the pin. Here are some of the clues The first digit is half of the 2nd The sum of 2nd and 3rd is 10 The 4th is equal to the 2nd plus 1 The sum of all the digit is 23 What is the atm pin

Answer 1

Answer is 4829

Explanation:

Given that first digit is half of the second digit that mean second digit is double of first digit.

Let us asuume, the first digit be x

Therefore, the second digit be 2x.

Given that the sum of second and Third digit = 10
2x + 3rd digit = 10
3rd digit = 10 - 2x

4 th digit = 2 nd digit + 1
            
               = 2x + 1

Now we have, all the four digits of a number = x, 2x 10-2x and 2x+1

Given Sum of all digits = 23

x + 2x + 10 - 2x + 2x + 1 = 23

3x + 11 = 23

3x = 23 - 11

3x = 12, x = 4

Therefore, Four digits are 4, 8, 2, 9

Answer - The ATM pin = 4829

Answer 2

Answer:

Step-by-step explanation:

Solution:-

Let the first digit be x

And the second digit be 2x.

According to the Question,

Sum of digits = 23

3rt Digit

2x + 3rd digit = 10

3rd digit = 10 - 2x .... (i)

4th Digit

4th digit = 2 nd digit + 1

4th digit = 2x + 1 .... (ii)

Adding all the digits, we get

⇒ x + 2x + 10 - 2x + 2x + 1 = 23

⇒ 3x + 11 = 23

⇒ 3x = 23 - 11

⇒ 3x = 12

⇒ x = 12/3

⇒ x = 4

1st digit = x = 4

2nd digit = 2x = 2(4) = 8

3rd digit = 10 - 2x = 10 - 2(4) = 10 - 8 = 2

4th digit = 2x + 1 = 2(4) + 1 = 8 + 1 = 9

Hence, Four digits are 4, 8, 2, 9