document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #340043 by josmiceli(19441) $\"\"$ $\"About$

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If a number is half of some other number, you know
\n" ); document.write( "the larger number must be even, since you can't
\n" ); document.write( "take 1/2 of an odd number.
\n" ); document.write( "The 10's digit is even
\n" ); document.write( "The thousands digit is even also
\n" ); document.write( "The units and hundreds digits can't both be odd,
\n" ); document.write( "since 2 odds make an even, and then the sum
\n" ); document.write( "couldn't be odd, so just 1 of the units and hundreds
\n" ); document.write( "digits must be odd
\n" ); document.write( "So I could have
\n" ); document.write( "(a) EOEE or
\n" ); document.write( "(b) EEEO
\n" ); document.write( "-------
\n" ); document.write( "In terms of value,
\n" ); document.write( "b/2 , a , b , b/4
\n" ); document.write( "Notice that b gets divided by 2 twice. That means both
\n" ); document.write( "b and b/2 have to be even numbers.
\n" ); document.write( "Suppose
\n" ); document.write( "b = 8
\n" ); document.write( "b/2 = 4
\n" ); document.write( "b/4 = 2
\n" ); document.write( "The sum is 14
\n" ); document.write( "That means
\n" ); document.write( "a = 3
\n" ); document.write( "The number is 4382 \n" ); document.write( "

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