document.write( "Question 448958: if 7 times a 2 digit number is equal to 4 times the number obtained by reversing the oder of the digit. the sum of the digits is 3. find the number ? \n" ); document.write( "

Algebra.Com's Answer #308852 by stanbon(75887) $\"\"$ $\"About$

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if 7 times a 2 digit number is equal to 4 times the number obtained by reversing the order of the digit. the sum of the digits is 3. find the number ?
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\n" ); document.write( "Let the number be 10t+u
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\n" ); document.write( "Equation:
\n" ); document.write( "t+u = 3
\n" ); document.write( "7(10t+u) = 4(10u+t)
\n" ); document.write( "-----------
\n" ); document.write( "Substitute for \"t\" and solve for \"u\":
\n" ); document.write( "7(10(3-u)+u) = 40u+4(3-u)
\n" ); document.write( "----
\n" ); document.write( "7(30-9u) = 40u+12-4u
\n" ); document.write( "210-63u = 36u+12
\n" ); document.write( "99u = 198
\n" ); document.write( "u = 2
\n" ); document.write( "-------
\n" ); document.write( "Solve for \"t\":
\n" ); document.write( "t+u = 3
\n" ); document.write( "t+2 = 3
\n" ); document.write( "t = 1
\n" ); document.write( "===================
\n" ); document.write( "The number is 10t+u = 12
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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