document.write( "Question 623888: I am a four-digit number. My thousands digit is 5 more than my hundreds digit, and my ones digit is the sum of my thousands and hundreds digits. My tens digit is the difference of my thousands and hundreds digits. What number am I? \n" ); document.write( "

Algebra.Com's Answer #392448 by solver91311(24713) $\"\"$ $\"About$

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

represent the 1000s digit,

represent the 100s digit,

represent the 10s digit, and

represent the 1s digit.\r
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\n" ); document.write( "\n" ); document.write( "Constraints, each digit in the range

\r
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\n" ); document.write( "\n" ); document.write( "From the first given relationship:

\r
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\n" ); document.write( "\n" ); document.write( "So we know that

otherwise

\ 9\">\r
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\n" ); document.write( "\n" ); document.write( "From the second relationship:

, but by substitution we can write

. This further restricts

so that

}\ 9\">\r
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\n" ); document.write( "\n" ); document.write( "From the third relationship:

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\r
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\n" ); document.write( "\n" ); document.write( "So the number is 7259 or 6157 or 5055\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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$\"The$

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