document.write( "Question 550056: A two digit number is equal to 3 times the sum of the digits. What is the number ? \n" ); document.write( "

Algebra.Com's Answer #358370 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = tens digit
\n" ); document.write( "Let $\"b\"$ = units digit
\n" ); document.write( "The value of the number is
\n" ); document.write( " $\"+10a+%2B+b+\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+10a+%2B+b+=+3%2A%28+a+%2B+b+%29+\"$
\n" ); document.write( " $\"+10a+%2B+b+=+3a+%2B+3b+\"$
\n" ); document.write( " $\"+7a+=+2b+\"$
\n" ); document.write( "The only way this can be true
\n" ); document.write( "and $\"a\"$ and $\"b\"$ are both
\n" ); document.write( "single digit whole numbers is
\n" ); document.write( " $\"+a+=+2+\"$
\n" ); document.write( " $\"+b+=+7+\"$
\n" ); document.write( "The number is 27
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+10a+%2B+b+=+3%2A%28+a+%2B+b+%29+\"$
\n" ); document.write( " $\"+10%2A2+%2B+7+=+3%2A%28+2+%2B+7+%29+\"$
\n" ); document.write( " $\"+20+%2B+7+=+3%2A9+\"$
\n" ); document.write( " $\"+27+=+27+\"$
\n" ); document.write( "OK \n" ); document.write( "

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