document.write( "Question 1133070: The ratio of the units digit to the tens digit of a two-digit number is one-half. The tens digit is two more than the units digit. Find the number. \n" ); document.write( "
Algebra.Com's Answer #750237 by Theo(13342)\"\" \"About 
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u = units digit
\n" ); document.write( "t = tens digit\r
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\n" ); document.write( "\n" ); document.write( "u/t = 1/2.
\n" ); document.write( "t = u + 2\r
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\n" ); document.write( "\n" ); document.write( "therefore, u/t = 1/2 becomes u/(u+2) = 1/2
\n" ); document.write( "multiply both sides of the equation by (u+2) to get:
\n" ); document.write( "u = 1/2 * (u + 2)
\n" ); document.write( "simplify to get:
\n" ); document.write( "u = 1/2 * u + 1
\n" ); document.write( "subtract 1/2 * u from both sides to get:
\n" ); document.write( "u - 1/2 * u = 1
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "1/2 * u = 1
\n" ); document.write( "solve for u to get:
\n" ); document.write( "u = 2\r
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\n" ); document.write( "\n" ); document.write( "t = u + 2 becomes t = 2 + 2 which becomes t = 4\r
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\n" ); document.write( "\n" ); document.write( "you have t = 4 and u = 2
\n" ); document.write( "u/t = 1/2 becomes 2/4 = 1/2 which is true.
\n" ); document.write( "t = u + 2 becomes t = 2 + 2 which becomes t = 4 which is true.\r
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\n" ); document.write( "\n" ); document.write( "solution looks good.
\n" ); document.write( "solution is that the tens digit is equal to 4 and the ones digit is equal to 2.
\n" ); document.write( "the number is 42.
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