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There is an unknown number •it is a four digit number •the tens are double the ones •the thousands are double the tens •the sum of the digits of nineteen

Respuesta :

Answer:

8542

Statement

1.It is a four digit number

2.The tens are double the ones

3.The thousands are double the tens

4.The sum of the digits is nineteen

Step-by-step explanation:

It is a four digit number

lets take 4 digit number-ABCD

The tens are double the ones

[tex]C=2D[/tex]-----------------------------1

The thousands are double the tens

[tex]A=2C[/tex]-------------------------------2

According to equation 1 and 2

[tex]A=4D[/tex]

If we take

[tex]D=1,2[/tex]

Possible number

[tex]4B21[/tex] OR [tex]8B42[/tex]

The sum of the digits is nineteen

I use hit and trial method

[tex]4B21[/tex]- If I take B is maximum

[tex]4+9+2+1\neq 19[/tex]

[tex]8B42[/tex]- If, i try to find value of B

[tex]8+B+4+2=19[/tex]---------------------3

[tex]14+B=19\\B=19-14\\B=5[/tex]

So the unknown number is-  8542

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