document.write( "Question 1006713: We need to solve this riddle. A two-digit number is 1 more than eight times the sum of the digits. The ones digit is 3 less than the tens digit. What is the number? \n" ); document.write( "

Algebra.Com's Answer #622796 by stanbon(75887) $\"\"$ $\"About$

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A two-digit number is 1 more than eight times the sum of the digits. The ones digit is 3 less than the tens digit. What is 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( "10t+u = 8(t+u)+1
\n" ); document.write( "u = t-3
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\n" ); document.write( "Substitute for \"u\" and solve for \"t\"::
\n" ); document.write( "10t + t-3 = 8(t+t-3) + 1
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\n" ); document.write( "11t - 3 = 16t - 24+1
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\n" ); document.write( "11t - 3 = 16t-23
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\n" ); document.write( "5t = 20
\n" ); document.write( "t = 4
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\n" ); document.write( "Then u = t-3 = 1
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\n" ); document.write( "Ans: 10t+u = 41
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\n" ); document.write( "cheers,
\n" ); document.write( "Stan H.
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