document.write( "Question 883701: Find a number which is smaller then 100 that increases by 1 by 5th of its value when its digits are reversed \n" ); document.write( "

Algebra.Com's Answer #533700 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Find a number which is smaller then 100 that increases by 1/5th of its value when its digits are reversed
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\n" ); document.write( "let a = the 10's digit
\n" ); document.write( "let b = the units
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\n" ); document.write( "To increase a value by 1/5, multiply it by 1.2
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\n" ); document.write( "1.2(10a+b) = 10b + a
\n" ); document.write( "12a + 1.2b = 10b + a
\n" ); document.write( "12a - a = 10b - 1.2b
\n" ); document.write( "11a = 8.8b
\n" ); document.write( "divide by 11
\n" ); document.write( "a = .8b
\n" ); document.write( "Only one value for b gives a single digit integer
\n" ); document.write( "b = 5,then
\n" ); document.write( "a = .8(5)
\n" ); document.write( "a = 4
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\n" ); document.write( "45 is the number
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\n" ); document.write( "Check 54/45 = 1.2 \n" ); document.write( "

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