Question

A house wife forgot her bank'Atm pin'which is a four digit number,but luckily she remembered some hints on how to recall this 'pin'
Here are some of the clues.
1)The 1st digit is half the 2nd.
2)The sum of the 2nd and 3rd is 10.
3)The 4th is equal to the 2nd plus 1.
4)The sum of all the digits is 23.

What is the Atm pin?


please answer the questions with steps clearly staking out.
thanks​

Answer 1

Answer:

4829

Step-by-step explanation:

If the first digit is half of the second, that means the second is 2 times the first

So let's solve this algebraically...

The first digit could be called a

The second digit would have to be 2 times a (2a)

We can call the 3rd digit b

Since the sum of the second and third digit is 10, the equation would be this..

2x + b = 10, which is the same as b = 10 - 2x

The fourth digit is this equation

2x + 1

So the four digits are...

x, 2x, 10-2x, 2x+1

They are all equal to 23, which means...

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

After simplifying...

3x + 11 = 23

3x = 23 - 11

Which means...

3x = 12, x = 4

After you plug all that back into the prior equation you should get

first digit = 4 second digit = 8 third digit = 2 fourth digit = 9

Thank me later :)

(or just mark brainliest)