document.write( "Question 320098: you are given a two -digit positive integer. if reverse the digits of your number. The result is a number which is 20% larger than your number . what is your number ? \n" ); document.write( "

Algebra.Com's Answer #229237 by stanbon(75887) $\"\"$ $\"About$

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given a two -digit positive integer. if reverse the digits of your number. The result is a number which is 20% larger than your number . what is your number ?
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\n" ); document.write( "Let the number be 10t+u
\n" ); document.write( "The reverse is 10u+t
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\n" ); document.write( "Equation:
\n" ); document.write( "10u+t = 1.20(10t+u)
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\n" ); document.write( "10u + t = 12t + 1.2u
\n" ); document.write( "11t = 8.8u
\n" ); document.write( "t/u = 8.8/11
\n" ); document.write( "t/u = 0.8
\n" ); document.write( "t = 0.8u
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\n" ); document.write( "To get a whole digit, u must be 5
\n" ); document.write( "Then t = 0.8*5 = 4
\n" ); document.write( "---
\n" ); document.write( "Number = 10t+u = 45
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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