document.write( "Question 547683: the sum of a two digit number is 9. the number is 12 times the tens digit. find the number \n" ); document.write( "
Algebra.Com's Answer #356505 by mathie123(224)\"\" \"About 
You can put this solution on YOUR website!
So I will let a represent the tens digit of the number I am looking for and b represent the ones digit. (so my number will end up in the form ab).\r
\n" ); document.write( "\n" ); document.write( "Since the sum of the two digits is 9 this means:
\n" ); document.write( "\"a%2Bb=9\" (1) \r
\n" ); document.write( "\n" ); document.write( "Also, since the number is 12 times the tens digit, this means:
\n" ); document.write( "\"a%2A12=ab\" ((note: ab is the whole number NOT a*b))
\n" ); document.write( "This can be rewritten as
\n" ); document.write( "\"10%2Aa%2B2%2Aa=10%2Aa%2Bb\"
\n" ); document.write( "so
\n" ); document.write( "\"2%2Aa=b\" (2)
\n" ); document.write( "Substituting (2) into (1) we get:
\n" ); document.write( "\"a%2B2%2Aa=9\"
\n" ); document.write( "\"3a=9\"
\n" ); document.write( "\"a=3\"\r
\n" ); document.write( "\n" ); document.write( "And so \"b=2%2A3=6\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So our number is 36. \r
\n" ); document.write( "\n" ); document.write( "HOpefully this helps, let me know if you are still unsure:)
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