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Fynjy0 [20]
3 years ago
15

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 'p

in'
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​
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
6 0

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 <em>a</em>

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)

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Pawl,colin and bria are waiters. One night the restaurant earns tips totalling £78.40 the share the tips in the ratio 2.1.5 how
stellarik [79]

Answer:  Brian gets $39.2 more over Colin.

Step-by-step explanation:

Given: Total tip amount = £78.40

The ratio of the share of tips for Pawl, Colin and Bria  is 2:1 :5.

Let tip amount for Pawl = 2x, tip amount for Colin = x , tip amount for Bria = 5x

Then, 2x+x+5x= 78.40

\Rightarrow\ 8x = 78.40\\\\\Rightarrow x=\dfrac{78.40}{8 }\\\\\Rightarrow x=9.8

Tip for Colin = $ 9.8 , Tip for Bria = 5($9.8)= $49

Difference = $(49-9.8) = $ 39.2

Hence, Brian gets $39.2 more over Colin.

4 0
3 years ago
State the hundred thousands place for 7,832,906,215
juin [17]

Answer:

Step-by-step explanation:

6 is the thousands place

0 (right next to it) is the 10 thousands place

9 is the hundred thousands place. There is only 1 nine present so the answer is unique.

4 0
3 years ago
3 times a number is 54 less than the square of that number. Find the negative solution.
Pavel [41]

Answer:

x=-6

Step-by-step explanation:

Let x be the number

3x = x^2 -54

Subtract 3x

3x-3x = x^2 -3x-54

0 = x^2 -3x-54

Factor

What 2 numbers multiply to -54 and add to -3

-9*6 = -54

-9+6 = -3

0=(x-9) (x+6)

Using the zero product property

x-9=0    x+6=0

x=9  x=-6

The questions asks for the negative solution

x=-6

3 0
3 years ago
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