document.write( "Question 834251: Find the smallest of three consecutive even integers so that four times the smallest increased by two times the largest is 32 \n" ); document.write( "
Algebra.Com's Answer #502873 by DrBeeee(684)\"\" \"About 
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Let a,b,c represent the three consecutive even integers. Then we have
\n" ); document.write( "(1) a = a
\n" ); document.write( "(2) b = a + 2 and
\n" ); document.write( "(3) c = a + 4
\n" ); document.write( "We are given that
\n" ); document.write( "(4) 4*a + 2*c = 32
\n" ); document.write( "Put (3) into (4) and get
\n" ); document.write( "(5) 4a + 2(a + 4) = 32 or
\n" ); document.write( "(6) 4a + 2a + 8 = 32 or
\n" ); document.write( "(7) 6a = 32 - 8 or
\n" ); document.write( "(8) 6a = 24 or
\n" ); document.write( "(9) a = 4
\n" ); document.write( "Then from (2) and (3) we get
\n" ); document.write( "(10) b = 6 and
\n" ); document.write( "(11) c = 8
\n" ); document.write( "Check the answer with (4).
\n" ); document.write( "Is (4*4 + 2*8 = 32)?
\n" ); document.write( "Is (16 + 16 = 32)?
\n" ); document.write( "Is (32 = 32)? Yes
\n" ); document.write( "Answer: The smallest integer is 4. \n" ); document.write( "
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