document.write( "Question 476586: A number is 4 times the sum of its digits.The units digit is two more than the tens digit.Find the number. \n" ); document.write( "

Algebra.Com's Answer #326850 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Let x = the 10's digit
\n" ); document.write( "Let y = the units
\n" ); document.write( "then
\n" ); document.write( "10x+y = \"a number\"
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\n" ); document.write( "A number is 4 times the sum of its digits.
\n" ); document.write( "10x + y = 4(x + y)
\n" ); document.write( "10x + y = 4x + 4y
\n" ); document.write( "10x - 4x = 4y - y
\n" ); document.write( "6x = 3y
\n" ); document.write( "Simply, divide by 3
\n" ); document.write( "2x = y
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\n" ); document.write( "The units digit is two more than the tens digit.
\n" ); document.write( "y = x + 2
\n" ); document.write( "Replace y with 2x
\n" ); document.write( "2x = x + 2
\n" ); document.write( "2x - x = 2
\n" ); document.write( "x = 2
\n" ); document.write( "then
\n" ); document.write( "y = 4
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\n" ); document.write( "24 is the number
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\n" ); document.write( "See if the works in the statement:
\n" ); document.write( "\"A number is 4 times the sum of its digits.\"
\n" ); document.write( "24 = 4(2 + 4)\r
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\n" ); document.write( "\n" ); document.write( "Find the number. \n" ); document.write( "

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