document.write( "Question 530299: .a two-digit number is three less than seven times the sum of two digits.if the digits are reserved,the new numberis 18 less than the original number.whats the original number?
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Algebra.Com's Answer #349997 by stanbon(75887) $\"\"$ $\"About$

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a two-digit number is three less than seven times the sum of two digits.if the digits are reserved,the new numberis 18 less than the original number.whats the original number?\r
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\n" ); document.write( "Let the number be 10t+u
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\n" ); document.write( "Equations:
\n" ); document.write( "10t+u = 7(t+u)-3
\n" ); document.write( "10u+t = 10t+u-18
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\n" ); document.write( "Rearrange:
\n" ); document.write( "3t - 6u = -3
\n" ); document.write( "9t - 9u = 18
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\n" ); document.write( "Modify:
\n" ); document.write( "9t - 18u = -9
\n" ); document.write( "9t - 9u = 18
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\n" ); document.write( "Subtract and solve for \"u\":
\n" ); document.write( "9u = 27
\n" ); document.write( "u = 3
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\n" ); document.write( "Solve for \"t\":
\n" ); document.write( "3t-6u = -3
\n" ); document.write( "t -2u = -1
\n" ); document.write( "t -2*3 = -1
\n" ); document.write( "t = 5
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\n" ); document.write( "Ans: Original Number: 53
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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