document.write( "Question 137884: the following is from a worksheet... please help me help my son figure this one out.\r
\n" ); document.write( "\n" ); document.write( "The tens digit of a two-digit number is 1 less than five times the units digit. The square of the units digit is 5 less than the tens digit. Find the number.\r
\n" ); document.write( "\n" ); document.write( "have tried unsuccessfully to manipulate the following to find the answer:
\n" ); document.write( "t=5u-1 and u**2=t-5\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #100786 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
The tens digit of a two-digit number is 1 less than five times the units digit. The square of the units digit is 5 less than the tens digit. Find the number.
\n" ); document.write( "have tried unsuccessfully to manipulate the following to find the answer:
\n" ); document.write( "t=5u-1 and u**2=t-5
\n" ); document.write( "Substitute 1st into 2nd to get:
\n" ); document.write( "u^2=5u-1-5
\n" ); document.write( "u^2-5u+6 = 0
\n" ); document.write( "(u-3)(u-2) = 0
\n" ); document.write( "u=3 or u=2
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\n" ); document.write( "If u = 3 , t=5*3-1 = 14
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\n" ); document.write( "If u=2, t = 5*2-1 = 9
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\n" ); document.write( "The ten's digit cannot be 14 so the only solution is 92
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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