document.write( "Question 1202602: In the correctly solved addition problem below, A and B represent digits. what is the value of A/B if AB+AAB = 844 \n" ); document.write( "
Algebra.Com's Answer #837533 by greenestamps(13208)\"\" \"About 
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\r\n" );
document.write( "    AB\r\n" );
document.write( " + AAB\r\n" );
document.write( "  ----\r\n" );
document.write( "   844

\n" ); document.write( "In the units column, B+B gives digit 4 in the sum, so B must be either 2 or 7.

\n" ); document.write( "In the tens column, A+A gives the even digit 4 in the sum, so there is no \"carry\" from the units column to the tens column. So B has to be 2.
\r\n" );
document.write( "    A2\r\n" );
document.write( " + AA2\r\n" );
document.write( "  ----\r\n" );
document.write( "   844

\n" ); document.write( "We can ignore the units column now. In the other columns we have
\r\n" );
document.write( "    A\r\n" );
document.write( " + AA\r\n" );
document.write( "  ---\r\n" );
document.write( "   84

\n" ); document.write( "Again we have A+A yielding digit 4 in the sum, so again A is either 2 or 7. But it has to be 7 in order to get leading digit 8 in the sum.

\n" ); document.write( "So A is 7 and we have
\r\n" );
document.write( "    72\r\n" );
document.write( " + 772\r\n" );
document.write( "  ----\r\n" );
document.write( "   844

\n" ); document.write( "ANSWER: A/B = 7/2

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