SOLUTION: i am a number. i have four digits. My thounsads digit is half my tens digit. my one digit is half my thousands digit. the sum of my digits is 17. what number am I?

Question 505943: i am a number. i have four digits. My thounsads digit is half my tens digit. my one digit is half my thousands digit. the sum of my digits is 17. what number am I?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
If a number is half of some other number, you know
the larger number must be even, since you can't
take 1/2 of an odd number.
The 10's digit is even
The thousands digit is even also
The units and hundreds digits can't both be odd,
since 2 odds make an even, and then the sum
couldn't be odd, so just 1 of the units and hundreds
digits must be odd
So I could have
(a) EOEE or
(b) EEEO
-------
In terms of value,
b/2 , a , b , b/4
Notice that b gets divided by 2 twice. That means both
b and b/2 have to be even numbers.
Suppose
b = 8
b/2 = 4
b/4 = 2
The sum is 14
That means
a = 3
The number is 4382
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