document.write( "Question 607414: the sum of the digits of a two digit number is 10.the number formed by reversing the digit is 4 less than 5 times the original number. find the original number \n" ); document.write( "

Algebra.Com's Answer #382675 by stanbon(75887) $\"\"$ $\"About$

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the sum of the digits of a two digit number is 10.the number formed by reversing the digit is 4 less than 5 times the original number. find the original number
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\n" ); document.write( "Original number: 10t+u
\n" ); document.write( "Reversed number: 10u+t
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\n" ); document.write( "Equations:
\n" ); document.write( "t + u = 10
\n" ); document.write( "10u+t = 5(10t+u)-4
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\n" ); document.write( "Substitue for \"t\" and solve for \"u\":
\n" ); document.write( "10u + 10-u = 5(10(10-u)+u)-4
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\n" ); document.write( "9u + 10 = 5(100-9u)-4
\n" ); document.write( "9u + 10 = 500-45u-4
\n" ); document.write( "9u + 10 = 496-45u
\n" ); document.write( "54u = 486
\n" ); document.write( "u = 9
\n" ); document.write( "Then t = 1
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\n" ); document.write( "Original number:
\n" ); document.write( "10t + u = 19
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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