document.write( "Question 695813: The sums of the digits of a two digit number is 14. If 4 is added to the number, the result is seven times the units digit. find the number? \r
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\n" ); document.write( "\n" ); document.write( "I have tried solving this problem like 15 times and i still have't come up with the correct answer please help me understand how to do this problem and how to write the equation
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Algebra.Com's Answer #428750 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Call the tens digit of the number \"+a+\"
\n" ); document.write( "Call the units digit of the number \"+b+\"
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+a+%2B+b+=+14+\"
\n" ); document.write( "(2) \"+10a+%2B+b+%2B+4+=+7b+\"
\n" ); document.write( "( note that \"the number\" is actually \"+10a+%2B+b+\" )
\n" ); document.write( "--------------
\n" ); document.write( "(2) \"+10a+-+6b+=+-4+\"
\n" ); document.write( "Multiply both sides of (1) by \"+6+\", , and
\n" ); document.write( "add the equations
\n" ); document.write( "(1) \"+6a+%2B+6b+=+84+\"
\n" ); document.write( "(2) \"+10a+-+6b+=+-4+\"
\n" ); document.write( "\"+16a+=+80+\"
\n" ); document.write( "\"+a+=+5+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+%2B+b+=+14+\"
\n" ); document.write( "(1) \"+5+%2B+b+=+14+\"
\n" ); document.write( "(1) \"+b+=+9+\"
\n" ); document.write( "The number is 59
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+10a+%2B+b+%2B+4+=+7b+\"
\n" ); document.write( "(2) \"+10%2A5+%2B+9+%2B+4+=+7%2A9+\"
\n" ); document.write( "(2) \"+50+%2B+9+%2B+4+=+63+\"
\n" ); document.write( "(2) \"+63+=+63+\"
\n" ); document.write( "OK\r
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