document.write( "Question 933046: wht is the 4 digit number in which the first digit is one-third the second, the third is the sum of the first and second,and the last is 3 times the second \n" ); document.write( "

Algebra.Com's Answer #566592 by KMST(5328) $\"\"$ $\"About$

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SOLUTION: $\"highlight%281349%29\"$
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\n" ); document.write( "EXPLANATION:
\n" ); document.write( "Let the number be $\"abcd\"$ , with
\n" ); document.write( " $\"a\"$ = the first digit,
\n" ); document.write( " $\"b\"$ = the second digit,
\n" ); document.write( " $\"c\"$ = the third digit, and
\n" ); document.write( " $\"d\"$ = the fourth digit.
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\n" ); document.write( "The \"first digit is one-third the second\" translates as
\n" ); document.write( " $\"a=b%2F3\"$ <---> $\"b=3a\"$ .
\n" ); document.write( "The \"third is the sum of the first and second\" translates as
\n" ); document.write( " $\"c=a%2Bb\"$ , so $\"system%28c=a%2Bb%2Cb=3a%29\"$ ---> $\"c=a%2B3a\"$ <---> $\"c=4a\"$ .
\n" ); document.write( "The \"last is 3 times the second\" translates as
\n" ); document.write( " $\"d=3b\"$ , so $\"system%28d=3b%2Cb=3a%29\"$ ---> $\"d=3%2A%283a%29\"$ <---> $\"d=9a\"$ .
\n" ); document.write( "Since $\"a\"$ and $\"d\"$ are digits, the only option is $\"system%28a=1%2Cd=9%29\"$ .
\n" ); document.write( "Then,
\n" ); document.write( " $\"system%28a=1%2Cb=3a%29\"$ ---> $\"b=3\"$ and $\"system%28a=1%2Cc=4a%29\"$ ---> $\"c=4\"$ . \n" ); document.write( "

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