document.write( "Question 1154009: The difference of two numbers is 4. Two times the smaller is 10 more than the larger. Find the two numbers. \n" ); document.write( "

Algebra.Com's Answer #776371 by Cromlix(4381) $\"\"$ $\"About$

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Hi,
\n" ); document.write( "Make the larger number = x
\n" ); document.write( "Make the smaller number = y
\n" ); document.write( "x - y = 4..........Eq(1)
\n" ); document.write( "x + 10 = 2y........Eq(2)
\n" ); document.write( "Rearrange Eq(1)
\n" ); document.write( "x - y = 4
\n" ); document.write( "x = y + 4
\n" ); document.write( "Substitute x = y + 4 into Eq(2)
\n" ); document.write( "x + 10 = 2y
\n" ); document.write( "y + 4 + 10 = 2y
\n" ); document.write( "Collect like terms
\n" ); document.write( "2y - y = 14
\n" ); document.write( "y = 14
\n" ); document.write( "Substitute y = 14 into Eq(1)
\n" ); document.write( "x - y = 4
\n" ); document.write( "x - 14 = 4
\n" ); document.write( "x = 18
\n" ); document.write( "Larger number = 18
\n" ); document.write( "Smaller number = 14
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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