document.write( "Question 1044100: A two digit counting number has a value that is 7 more than 6 times the sum of its digits. If the units digit is 3 less than the tens digit, what is the number? \n" ); document.write( "
Algebra.Com's Answer #659345 by ankor@dixie-net.com(22740)\"\" \"About 
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let a = the 10's digit
\n" ); document.write( "let b = the units
\n" ); document.write( "then
\n" ); document.write( "10a+b = the number
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement
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\n" ); document.write( "A two digit counting number has a value that is 7 more than 6 times the sum of its digits.
\n" ); document.write( "10a + b = 6(a+b) + 7
\n" ); document.write( "10a + b = 6a + 6b + 7
\n" ); document.write( "10a - 6a = 6b - b + 7
\n" ); document.write( "4a = 5b + 7
\n" ); document.write( ":
\n" ); document.write( " If the units digit is 3 less than the tens digit,
\n" ); document.write( "b = a - 3
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\n" ); document.write( "Replace b in the 1st equation
\n" ); document.write( "4a = 5(a-3) + 7
\n" ); document.write( "4a = 5a - 15 + 7
\n" ); document.write( "4a - 5a = -8
\n" ); document.write( "-a = -8
\n" ); document.write( "a = 8
\n" ); document.write( "find b
\n" ); document.write( "b = 8 - 3
\n" ); document.write( "b = 5
\n" ); document.write( ":
\n" ); document.write( " what is the number? 85 is the number
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this in the first statement simplified equation
\n" ); document.write( "4(8) = 5(5) - 7
\n" ); document.write( "32 = 25 - 7 \n" ); document.write( "
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