Find the number

Question

I am a five digit number, my tens digit is the sum of my hundreds digit and thousands digit,my tens digit is twice my ones digit, my hundreds digit is 1 more than zero, my thousands digit is seven times my hundreds digit, my tens thousands digit is the same as my ones digit, what is the mystery number

Answer 1

Using a roman numeral like notation:

Z = ten thousands digit
M = thousands digit
C = hundreds digit
X = tens digit
I = ones digit

Actually the roman numeral for 10000
is

 

___

 X

 

read X-bar. Oh Well.

X = C+M

X = 2I

C = 0 + 1 = 1

M = 7C

Z = I

Since C=1, M=7.

X = C + M = 1 + 7 = 8

By the second equation, 8 = 2I
So I=4.
Then Z also is 4 by the last equation.

In summary, Z = 4, M=7, C=1, X=8, I = 4
The number is 47184

Answer 2

hundreds digit is 1

thousands digit is 7

tens digit is 8

ones digit is 4

ten-thousands digit is 4

 

47184