document.write( "Question 505066: one number is five more than four times another. Their sum is 35. Find the two numbers. \n" ); document.write( "

Algebra.Com's Answer #339773 by oberobic(2304) $\"\"$ $\"About$

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x & y are two numbers.
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\n" ); document.write( "x = 4y + 5
\n" ); document.write( "x - 5 = 4y
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\n" ); document.write( "x + y = 35
\n" ); document.write( "so
\n" ); document.write( "y = 35-x
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\n" ); document.write( "substitute
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\n" ); document.write( "4y = 4(35-x)
\n" ); document.write( "4y = x-5
\n" ); document.write( "so
\n" ); document.write( "x-5 = 4(35 -x)
\n" ); document.write( "x-5 = 140 -4x
\n" ); document.write( "5x = 145
\n" ); document.write( "x = 29
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\n" ); document.write( "y = 35-x
\n" ); document.write( "y = 35-29
\n" ); document.write( "y = 6
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\n" ); document.write( "Check the solution before accepting it.
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\n" ); document.write( "Does x = 4y + 5?
\n" ); document.write( "x = 29
\n" ); document.write( "y = 6, so 4(6)+5 = 24+5 = 29
\n" ); document.write( "Correct.
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\n" ); document.write( "Answer: The two numbers are 6 and 29.
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\n" ); document.write( "Done.
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