document.write( "Question 252089: Can I please get help on this word problem? The sum of two numbers is 46. Four times one number is 4 more than twice the other number. Find the numbers. So far I have tried many times but always end up with an impossible answer. One thing I have tried is, 4x + 2x + 4 = 6(42). But I always end up getting 41 and 1/3. Can you please teach me how to do this problem? \n" ); document.write( "
Algebra.Com's Answer #183840 by stanbon(75887)\"\" \"About 
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The sum of two numbers is 46. Four times one number is 4 more than twice the other number. Find the numbers
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\n" ); document.write( "Equations:
\n" ); document.write( "x + y = 46
\n" ); document.write( "4x = 2y+4
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\n" ); document.write( "Rearrange:
\n" ); document.write( "x = 46-y
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\n" ); document.write( "Substitute for \"x\" and solve for \"y\":
\n" ); document.write( "4(46-y) = 2y + 4
\n" ); document.write( "184 - 4y = 2y + 4
\n" ); document.write( "6y = 180
\n" ); document.write( "y = 30
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\n" ); document.write( "Since x = 46-y, x = 46-30 = 16
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\n" ); document.write( "Solution: x = 16 ; y = 30
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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